In combatmovement, can a bomber or fighter flew over enemy occupied zone to attack a zone behind? What about naval units? Can they travel past a zone occupied by the enemy?

Thanks. Different colored dice was a nice trick. It will help speed up the game.

Do You have to roll the dices for inf first, then a new roll for tanks/fighters or can You just add upp 5 inf, 1 tank and 1 fighter and then roll 7 dices and sort out the outcome? In the manual for A&AE it is explained like this:

The attacking player goes first. Note that the battle board
is divided into four sections. The attacking player may find it
convenient to resolve all combat in section 1 first, then section 2
and so on. However, this is not required.

The Bold part is done by me. I read this the way that You have a choice. Either roll for the inf separately, then for the tanks etc. Or add up, roll all the dices and sort out.