I tried it out for a bit and here is some stuff I wrote down:
The accidental door bashing happened to me a few times. The standard action in front of doors should probably be "Open Door", much like "Check" is the standard action for points of interest.
Speaking of "Checking" - I believe the small pop-up text box that says "checking"/"scanning"/etc could be removed. It just re-affirms what you are doing and requires further input.
Generally speaking, it's always a good idea to keep the required keypresses at a minimum. That sounds lazy but it makes the whole thing a lot snappier.
For example, in combat you could save the last enemy selection and the corresponding action. Then automatically put the cursor selection on these list items next round (so you basically save the menu navigation).
Thinking a bit of Elminage here where you decide a strategy and then just hit a single button to repeat what you did last round.
You may also want to add an option to lock the map rotation (perhaps that works already?). That may just be me, but I think that would make it easier to navigate the area.
Otherwise, it's very nice. Especially visually.