I don't think a horse is extremely respectful in one thing and not another. That "respectful" people always talk about is when the horse figures out that you can move their feet anywhere you want AND, you are very clear, consistent and firm, so they gravitate toward that and join up/follow you as a leader.
So, the horse "joining up" wiht you easily is probably more likely she knows to do so means no more work an she'll be happy to go along with that. In fact, it's her idea anyway, so it looks like she is followng you.
I am not big on the whole "respect" thing. It's just too anthropomorphic.
However, her passing close to you in the round pen with pinned ears is definitely her trying to "push" on you .So, she has not let go of the idea that she calls the shots.
Her going throught the "squeeze game" too close to you can be part of what I mentioned above, and part her being nervous about being too close to the fence, with you on her other side, too. For that, you need to work on sending her between you and the fence starting out with larger gaps and working toward a narrower gap.
her not turning correctly but hunkering down behind you is also her avoiding work and pushing on you. Your backing up is never the correct response, unless your life is in danger.
Buck Branaman says, "There's no back up in my feet", when he works horses on the line. If she is too close or behind you, move her off! It doesn't matter if the turn is pretty or perfect shaped. If you do not invited her up close to you, then you move her off, now! Throw the slack line up at her underjaw and shoo! her back. Forget trying to have her move a certain way or a certain place. Just get so you can move her away from you.
in the round pen, when you try to turn her, you of course step in front of her direction of travel, right? Then instead of turning she veers off and almost brushes you with her shoulder? If you can reach her without being within kicking range, smack the shoulder. Start making her turn alot more.
ANd, I venture to bet that when you ask her to move forward, she is slow and resentful about it and maybe pins her ears then? get after her until she LEAPS forward when you say so. Then quit.