Don't worry about the door condition for now - in most rooms placing the boxes on the unlit eye symbols will work. (The non-circled dot is a marker for where you reset to, maybe I should change that to something else to avoid confusion?)
a2 is supposed to hint at how to activate eye symbols, which then allows progress.
(what makes the top 2 different from the other 2, could you get the other ones into the same state?)
Solution: Gurer arrqf gb or na bowrpg be jnyy ba nyy 4 fvqrf bs gur rlr flzoby gb npgvingr vg.The statue turning invisible seems to be bug sorry- all of the rooms are self-contained - you don't need to move a Statue out of the room it starts in.
Edit: This has now been fixed.