We aren't quite sure. But in interviews from One Direction, he has mentioned to really like Leona Lewis & also The Script. Hope it helps!
Blue and makeevnin
most but not all...
Run. He said it on Ustream :)
This might help you http://onedirectionnews.wordpress.com/meet-the-members/liam-payne/
rock me
It is Viva La Vida by Coldplay.
Cry me a river
cry me a river
Liam's favorite One Direction song is One Thing
He doesn't really, it depends which song!
cry me a river
Liam and Niall's is One Thing, Louis' is Moments, Zayn's is I Want, and Harry's is More Than This