Hello!
Sounds like you have a few problems.
Sounds like she has some separation anxiety issues if she is jumping up on doors to find you or see you or freaks out when you are out of sight or leave. This is very hard and time consuming to change. It takes a long time to teach them to stop but it can be done through propper training. Also, it sounds as if this behaviour has become accpetable or wasn't stopped when she first did it. Maybe she started doing it and the first few times you didn't notice or think it was a big deal but now it has become a problem. I am refering to when you said she would climb over the door to get in, etc.
Another issue is dominance, obedience and leadership. Your dog is not taking you seriously and thinks she can get away with bad behaviour and do whatever she wants. this should be unacceptable. If your dog is not listening or is disobedient you have to make them listen because they are testing you to see how far they can go or get away with. If they learn they can get away with things they will do more and the behaviour will get worse; basically don't be a door mat to your dog and show her who's boss. Also, the dog doesn't decide you decide when to give attention, affection, and let her inside. Whining should only be acceptable to ask to go the bathroom.
Remember when she is good, behaving properly, obedient, etc give lots of praise so it re-enforces the good behaviour. Are you giving a lot of attention for this bad behaviour? Maybe she has learned this is a good way to get your attention. Try to pay as little attention as possible. Give the correction and walk away. Also, try setting her up for failure. If you know she will jump on the door when your are gone even though she knows its bad then set her up. Make it seem as if you have left by leaving the room but wait around the corner and spy on her. As soon as she thinks you have left she will jump on the door and run quickly with the squirt bottle and say NO. then leave. It is a training exercise and will have to be repeated. I would also recommend taking her to a trainer to work on the obedience and so you can learn how to be the "pack leader" for your dog. They can also show you how to deal with the separation anxiety.
Just remember that she is a rescue dog and will have many problems that need to be delt with. That is probably why She has been in three homes now. Dogs usually don't end up in a rescue centre for no reason and most of the time have behaviour issues. But don't give up because with the propper training, leadership and love your dog can change. It will just take a while. Dogs are very loyal and labs are supposed to be very smart so she can learn; just have patients
