2nd Kings Chapter One

 2Ki 1:1  And Moab rebelled against Israel after the death of Ahab. 

2Ki 1:2  And Ahaziah fell through the lattice-work in his upper room in Samaria, and was sick. And he sent messengers and said to them, Go, ask of Baal-zebub the god of Ekron if I will recover from this sickness. 

2Ki 1:3  And an angel of Jehovah spoke to Elijah the Tishbite, Rise, go up to meet the messengers of the king of Samaria, and say to them, Is it because there is not a God in Israel that you are going to ask of Baal-zebub the god of Ekron? 

2Ki 1:4  And so Jehovah says this, You shall not come down from that bed on which you have gone up, but dying you shall die. And Elijah departed. 

2Ki 1:5  And the messengers returned to him. And he said to them, What is this, that you have turned back? 

2Ki 1:6  And they said to him, A man came up to meet us, and said to us, Go, return to the king who sent you. And you shall say to him, So says Jehovah, Is it because there is not a God in Israel that you are sending to ask of Baal-zebub the god of Ekron? Therefore, you shall not come down from the bed on which you have gone up, for dying you shall die. 

2Ki 1:7  And he said to them, What was the fashion of the man who came up to meet you and spoke these words to you? 

2Ki 1:8  And they said to him, A hairy man, and a girdle of leather was girded about his loins. And he said, He is Elijah the Tishbite. 

2Ki 1:9  And the king sent to him the commander of fifty with his fifty. And he went up to him. And behold, he was sitting on the top of the hill. And he spoke to him, O man of God, the king has said, Come down. 

2Ki 1:10  And Elijah answered and said to the commander of fifty, And if I am a man of God, fire will come down from the heavens and consume you and your fifty. And fire came down from the heavens and consumed him and his fifty. 

2Ki 1:11  And he turned and sent another commander of fifty and his fifty to him. And he answered and said to him, O man of God, so says the king, Hurry, come down. 

2Ki 1:12  And Elijah answered and said to them, If I am a man of God, fire will come down from the heavens and will consume you and your fifty. And fire from God came down from the heavens and consumed him and his fifty. 

2Ki 1:13  And he turned and sent a third commander of fifty and his fifty. And the third commander of fifty went up, and came and fell on his knees before Elijah, and begged him, and said to him, O man of God, please let my life and the life of your servants, these fifty, be precious in your eyes. 

2Ki 1:14  Behold, fire has come down from the heavens and has consumed the two commanders of the former fifties and their fifties. And now let my life be precious in your eyes. 

2Ki 1:15  And the Angel of Jehovah spoke to Elijah, Go down with him. Do not be afraid of him. And he rose up and went down with him to the king. 

2Ki 1:16  And he said to him, So says Jehovah, Because you have sent messengers to ask of Baal-zebub the god of Ekron, is it because there is not a God in Israel to inquire of His Word? Therefore, you shall not come down from the bed on which you have gone up, for dying you shall die. 

2Ki 1:17  And he died, according to the Word of Jehovah that Elijah spoke. And Jehoram reigned in his place, in the second year of Jehoram the son of Jehoshaphat, the king of Judah, for he had no son. 

2Ki 1:18  And the rest of the acts of Ahaziah that he did, are they not written in the Book of the Matters of the Days of the Kings of Israel? 

Verses 1-8 Summary: Moab rebels against Israel after Ahab dies. King Ahaziah (Ahab's son) Falls through the lattice floor and injures himself. He sends messengers to Ekron to inquire of Baal-zebeub about his condition. God sends Elijah to intercept the messengers and sends a message to Ahaziah telling him that he will die (for not trusting God). Ahaziah figures out it is Elijah.

3. Where is Ekron? Ekron was south of Samaria near the Dan/Judean border and due east of Jerusalem. It would have been more of a straight shot to go to Jerusalem to inquire of the true God as opposed to this. Ekron was also a Philistine stronghold, arch enemies of Jehovah and his people. What alliance did Ahaziah have with them to think their god would serve his purpose?

4. Look up Baal-zebub in a Bible dictionary. What kind of god was this?
Strongs: 

בַּעַל זְבוּב

ba‛al zebûb

bah'-al zeb-oob'

From H1168 and H2070; Baal of (the) Fly; Baal Zebub, a special deity of the Ekronites: - Baal-zebub.
1168:  Baal - 1167  master

2070=
 זְבוּב

zebûb

zeb-oob'

From an unused root (meaning to flit); a fly (especially one of a stinging nature): - fly

Essentially lord of the flies. The concept could mean the master over flies, perhaps one who drives out flies (disease/pestilence) or a mixture of both. I don't think a concept of worshiping flies would apply here. 

NOTES: 
Why is the mention of Moab here? It is likely just a historical footnote, however it is insightful. Moab was brought into subjection during the Davidic reign. It would seem that after the split, control went to Israel, even though Moab was due east of Judah (past the dead Sea). What we see in the reading is a slow loss of power as the years go by. Since Solomon's end, we've seen loss of power/influence and territory continually.

It is interesting to compare the appearance of Elijah (8) "A hairy man, and a girdle of leather was girded about his loins" to John the baptist. Remember, it wasn't unusual for God to send Elijah into a wilderness, into a cave, under a tree etc. 
Similar to John the baptist: 
Mat 3:4  And John himself had his clothing from hairs of a camel, and a belt of leather about his loins...
Luke 3:2 ...the Word of God came on John the son of Zacharias in the desert. 

The parallels are striking and the fulfilment of:
Mal 4:5  Behold, I am sending you Elijah the prophet before the coming of the great and dreadful day of Jehovah.
Makes us realize why the Jews were looking for an Elijah as THE sign of the coming of the Messiah.

It also reveals how God works through anyone he wishes. These great prophets had no royal blood, nor were they big and powerful like Samson. These were commoners, likely dusty and rugged.

Verses 9-18 Summary: Ahaziah sends for Elijah. He sends a captain with fifty troops. The captain finds Elijah and says "Oh man of God, the king says "come down."" Elijah answers "if I am a man of God, fire will come down from the heavens and consume you and your fifty." Then that happened. The king sends a captain and fifty men again, and the same thing happens. He does it a third time. This time the captain bows and shows respect and requests Elijah to come. An angel tells Elijah to go. Elijah goes and delivers he same message to Ahaziah that he will die. He does die as prophesied. Jehoram (not  a son) takes over as king.

Note: This incident (along with others) cemented Elijah's standing in Jewish culture as a strong prophet of God. There was at least one New Testament reference that reveals that sentiment:
Luk 9:54  And seeing, His disciples, James and John, said Lord, do You desire that we tell fire to come down from Heaven, and to destroy them even as Elijah did?  

This revelation depicts the disciples' misunderstanding of the mission of the messiah. That revelation would come later under the teaching of the holy Spirit.