Hi. I'm sorry you're still having this problem. You got some really good replies in your first post about this
. It sounds like you need to put a lot more time into teaching her that being picked up is fun and leads to good things, like super yummy treats, but it's a very gradual process that can't be rushed.
Start by getting her used to you just touching her sides. Touch sides, give treat, remove hands. Touch sides, give treat, remove hands. When she's cool with that, increase the pressure of your hands on her sides. Give treat. Remove your hands. Hands with pressure, give treat, remove hands. When she's cool with that, lift her every so slightly, put her down, give big treat. Repeat tiny lift with treats every time until she's cool with that. Then gradually increase the distance and duration of the lift over a period of days, weeks, months, however long it takes until she's cool with you picking her up all the way.
Keep the sessions short since she's a little puppy with a short attention span and you don't want to overwhelm her, maybe only a few minutes at a time a couple of times a day. If she already has a negative association to being picked up, it's going to take extra time and patience to overcome that and get her to change her feelings.
Since desensitization is slow process and can't be rushed, you're going to have to brainstorm ways to get her places without picking her up, since doing so will undo any progress you've made with desensitization.
Can you use something as a ramp for her to get into and out of the car on her own? How tall are the sides of her pen? Can you use something as stairs that can be removed after she's in or out? Blocks of wood, different sized boxes?
It's almost definitely not a dominance issue and continuing to think of her behavior as a challenge to your authority may be leading you to address the problem inappropriately.
Also, if you got her at 8 weeks, she may not have had enough time with her mom and siblings to develop proper bite inhibition. Basically you need to teach the puppy not to bite hard before you teach him not to bite at all.
Here's my go to Ian Dunbar video:
And another one that was posted in a different thread recently that's also very good:
Teaching bite inhibition is important because even the nicest dog can be provoked to bite under extreme circumstances and you want to make sure that if your dog ever gets to that point and actually bites as an adult (or even as a puppy), he won't do any damage. It will have been ingrained in him from an early age the appropriate amount of pressure to use against skin.