This might help you, but you first must try to resolve it and have a "paper trail" that you did so:
ICANN | Accreditation Overview
I'd also try first to transfer the domains in question to a different registrar. I've been dealing with namecheap.com and found them to be easy to work with, and they've been around for a lotta years.
If the names won't transfer, and/or the registrar's interface doesn't work to unlock them, and you can document this (screenshots, maybe?) then you have something with which you can file a complaint with icann.
btw, you said:
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as I tried to transfer the domains elsewhere and their site took the money to do it, but again, nohing happened.
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You don't pay the registrar you're transferring away from, you pay the registrar you're transferring to.