First things first, close your store. It is highly unlikely they will reinstate your selling privileges, but they will happily keep charging you for a store each month. If you do get lucky, you can reopen it again.

Even though it's highly unlikely you'll be able to sell again, I would still get in touch with eBay and demand to know why. Don't email, or use live chat. You're wasting your time. Use the call me back option and then ask to speak to a supervisor. Keep using that option until someone gives you a straight answer. It could take a few goes. You deserve to know why when it's not obvious.

Remain calm and polite at all times. Politely request that they don't recite stuff off a computer screen, you want to know the exact reason. Often they will punch a few keywords into the computer and start spouting whatever it spits out. Usually having nothing to do with your issue.

There are ways to sell again, but sadly, it would mean starting from scratch, including all the restrictions of a new seller (listing limits, 21 day hold on funds etc). It takes discipline, but it can be done. I also understand with 9000+ feedback, that would be a real kick in the guts.

Please keep us posted with any updates after you've spoken to eBay. If all looks lost, then I will send you a message on how to start again. It's not something I will post publicly.