Because he knew that all of Laketown was going to be anxious for Thorin and the Company to kill the dragon and then share the wealth with them. They gave him weapons and food and supplies to kill the smaug.
I don know
Dain is Thorin's cousin, a Dwarf from the Iron Hills. Thorin sends a raven to summon Dain and his army to help defend the treasure under the Lonely Mountain from the men and elves after Smaug is slain. Dain and Thorin join forces with the men and elves to defeat the evil creatures. He is crowned King under the Mountain after Thorin dies in the Battle of Five Armies.
The reason why Thorin didn't want the elvenking to know about their quest is because the wood-land elves are selfish and love gold, the dwarves are trying to get their gold back, but if the elves find out, they will want to help them, but get some of their treasure!
When addressing the elves and men that came to the gate, Thorin refers to himself more than once as " I am Thorin son of Thrain son of Thror King under the mountain"
Thorin chooses to fortify his postition and await Dain's arrival. He is ready to do battle with the elves and men.
The Elven-king, Thranduil, who ruled the Woodland Elves (Northern part of Mirkwood Forest) put Thorin and Company in prinson. Elves and Dwarves have distrusted each other ever since the First Age (The Hobbit is set toward the end of the Third Age), so Thranduil was not kindly disposed toward Thorin's Company. Thorin further angered Thranduil by refusing to tell him either his name or his business, because Thorin didn't trust Thranduil either.
Dain is Thorin's cousin, a Dwarf from the Iron Hills. Thorin sends a raven to summon Dain and his army to help defend the treasure under the Lonely Mountain from the men and elves after Smaug is slain. Dain and Thorin join forces with the men and elves to defeat the evil creatures. He is crowned King under the Mountain after Thorin dies in the Battle of Five Armies.
The battle of five armies comes after Smaug's death, after Thorin's 'dragon greed' almost starts a war against the elves and the men of Laketown.
The party of dwarves had fought their way out of the spider's part of the forest. Once they settled down for a rest, they realized that Thorin was gone. He had been taken by the elves before the spiders caught the others.
The reason why Thorin didn't want the elvenking to know about their quest is because the wood-land elves are selfish and love gold, the dwarves are trying to get their gold back, but if the elves find out, they will want to help them, but get some of their treasure!
When addressing the elves and men that came to the gate, Thorin refers to himself more than once as " I am Thorin son of Thrain son of Thror King under the mountain"
They were captured several times, by the trolls, orcs, and Mirkwood spiders, respectively. But they were taken prisoner and kept in the dungeons by the Elves of Mirkwood (which is probably the instance you mean).
Thorin chooses to fortify his postition and await Dain's arrival. He is ready to do battle with the elves and men.
The Elven-king, Thranduil, who ruled the Woodland Elves (Northern part of Mirkwood Forest) put Thorin and Company in prinson. Elves and Dwarves have distrusted each other ever since the First Age (The Hobbit is set toward the end of the Third Age), so Thranduil was not kindly disposed toward Thorin's Company. Thorin further angered Thranduil by refusing to tell him either his name or his business, because Thorin didn't trust Thranduil either.
They were about to go into battle, and men and elves are bothered by the cold much more than Hobbits or dwarves.
Roac, son of Carc, brought the news that the dragon Smaug had been killed in Lake-town by Bard the bowman.
It was the Battle of Five Armies. The armies were the humans, elves and dwarves against the wargs and the goblins.
In the Battle of Five Armies he took his place on Ravenhill with the elves.