What is that rubber hose in the picture (number 1)? some kind of breather? And what should i do with it if i install an induction kit? hose it attached to enginecover.

Secondly: in the enginecover you can see the tube that is attached to exhaust manifold (number 2), what does it do? warms air in cold starts? What should i do with it? thank you

yes the hose in picture number one is a breather, you can either put a little minature filter on there or try to connect it to the main air filter somehow... dont leave it 'open' because you may end up with oil splattered all over the engine bay!

the one in picture two is for the warm air collector plate which as you correctly say, feeds the airbox with warm air for cold starts... this can be safely left open if you are fitting an induction kit