It has not been confirmed if The Hunger Games will be released in Lego. It is assumed that if Lego Hunger Games were to be made, they would be made at the time Catching Fire's movie will be released (2013).
No the companies that made PS2 games and the maker of Sony PlayStation consoles are not going bankrupt. There is just less of a market for new PS2 games than for the PS3 and Xbox 360 games and so they are creating more games for those systems
it may not be. only because it is being made for the PS3. they are eventually going to stop making PS2 games and only have PS3 games...so they are going to do what works best for them and make it for the PS3