When the overlord is in play,

is it possible monsters can open and close doors? they should give up an action for this, which one?

we allways played it: monster open/close doors and give up either the attack/move action

Can overlord cards frenzy/dash be used to open or close a door. because you get an additional attack ACTION, or additional Move action.

normally the overlord only uses attack or move, so should i see these additional attack or move action also as an action when opening a door. or even trying to open a door (testing attributes)

example:

I lost (as overlord) the masquerade ball because lady Eliza kept failing her attribute test,

standing next to the door I tried 2 times (once for my attack action and once for my move action)

but can i try 4 times when using the "frenzy" and "dash" card?