Can I move my domains from my existing eNom account, to an account created for me under a different reseller? I am just wondering if there is any sort of lock at the parent reseller level which would prevent me from moving my domains. How about my balance, could that be transferred out too?

As far i know, you cant move balance.

You simply push your domains to your new account name. Takes only a second. I also don't think you can move any balance. So you might want to use that to renew your names first.

With the balance, just use it up purchasing either domains you want or ones you can sell, then push them to your new account. Thats the only way you can deal with it, unless you could 'sell' the account with the balance, but I doubt that's legit.