You can use keyboard to navigate through popups just like everywhere in the web. Our popups contain standard webforms and thus support standard navigation keys. Also you can use Esc to close a popup (equal to clicking Cancel button).
Most of the popups require a decision. The only building popup that doesn't is Champion Cult castle which text is too long to be placed in log and also the result of interaction can be easily missed without popup. It's one of the 9 explore buildings though and it's generated quite rarely. Confirmation upon island leave on battle loss is crucial because kicking a pet off the island without any notices will definitely look strange and many players won't understand why this happened and won't even get a chance to know the results of the last battle. There are no other popups that don't require decision.
Could you please suggest a sufficient layout for displaying monster level on map without overlapping the monster itself and the tiles near it? Tiles are 40x40 px, level marker must be clearly visible and readable on any backgrounds. It seems to be impossible without making at least one tile overlapped and unrecognizable, though we're open for your suggestions if you see a nice way to solve this issue.