Thank you for playing!
Controller support will come in the next big update (and so are some needed UI updates).
Enemies cross what look like gaps because those gaps are actually illusory tiles that are invisible to the player before they step on them. If you use WASD to step over them you'll also be able to do the same.
>Passing turn
It is intentional right now that you can't "pass your turn". You are supposed to use the dice to change your movement to ambush the enemy or stop movement early to bait them. I may change this in the future, or introduce it in a proper tutorial level, but it is a deliberate choice that you can't easily control where you stop.