listeme, you are right… humping can be other things... but even if all "keyed up" it is generally to show dominance or control. I have seen males and females where one day one humps, another the other so it isn't clearly alpha... but trying to control... usually. (edited note: ie control as in not dominate but decrease tension)
As for sit... either teach it or don't teach it. Don't say sit and let her call the shots. That was my point. But actually teaching obedience gives the dog useful attention, and she is definitely craving attention. It gives her time with a person, with the person in control, in a constructive way. I don't see teaching sit or any number of commands as negative at all. Training should be FUN and UP and bonding. Nor is placing her body in sit "FORCING" .. it is showing and enforcing. It is training, not some battle.
Notice though my first advice was simply find the one issue most a concern and work on it. My post was addressing other things posted, not what I think she should be doing.
Other than tripping dangers, I don't find anything the dog is doing to be terrible. I try to let rescues take a week to just chill, fit in and settle. I wouldn't be using the squirt bottle, but I would leash her and teach her body positioning.
This poster had issues with her last rescue and I sense that much of the issues are her own inexperience in training and a great desire to fix everything fast. This dog has years to undo, it isn't going to be fast.
And we agree, it is not a power struggle, it is a training issue. I frankly think the dog sounds delightfully normal but untrained. I worry however, when roommates are getting upset. People have posted excellent advice, and she has BRAT coordinator... she just needs to take a deep breathe and work on sorting out the big issues and letting the rest get sorted later.
LOL we are all armchairing... which is why using the coordinator who has access to the dog is important.