I know that there is, two quick press F1 goes first summon hero, F2 second summon hero..

But is there other like a shortcut to barracks or something like that?

F1 (BM) is all you need dude.

you can bind rax or any other building, same as units

backspace - return the camera to your base!

you can select any unit or building, and put them into a group.

you do it like this:
select unit(s) or building(s) and press "crtl" + "1-9".
afterwards, pressing the key you assigend the units to (1-9) will select that group, pressing it twice will take your screen to where the group currently is.