Great feedback, I agree with all of it except for the shared inventory.
I like being able to manage items between characters and as you pointed out would break the weight system (Not that it currently works anyway). I don't have a big problem with moving items around as I typically use the same character to pickup stuff.

Sneaking is strange when it comes to doors. It seems you only need to be sneaking to open the door and then can freely disable sneak and stroll in without anybody caring. One exception though is the harbor legion stock room.