Don't pay the judgment? I don't know because I've never been down that road. I only familiarized myself with landlord tenant law because its relevant to me as a landlord and I wanted to make sure I understood what my obligations were.
If I were in Zeze's position I would have spoken to an attorney by now. In my experience, most will sit down with you free of charge and tell you how they think you should proceed. They only charge if you decide to have them represent you. That said, I find it really hard to believe that it's impossible to collect a security deposit a landlord who groundlessly refuses to pay. The OP said "Writ of Execution and all that". I have no idea what that means, but he hasn't really explained why he doesn't think he would be able to collect on a judgment.