I agree with Lyn T. Get the LPA in place ASAP. In the meantime, don't panic! If these debts have accumulated over several years, another few weeks isn't going to make that much difference and you need time to get the LPA, do some research and establish what will be the best course of action.
Consider putting a redirect on her mail now so that you receive all her post. She may not agree to this of course, but it's something we did with my aunt as she was losing or ignoring all sorts of important mail (such as cheques from 10+ years ago lying around the floor which hadn't been cashed!). Now all her mail goes to my mum's address and we can administer her affairs.
I don't know if filing for bankruptcy is an option for her, but these are the sort of things you should start looking into. If she has a lot of debt and judgments against her, I'd be surprised if the credit card companies will agree to her having more cards. Try and get her to register with a credit control agency like Experian as that will give you a snapshot of her current liabilities.
I also found my aunt had been ignoring various payment demands but ultimately, unless the individual debt amounts are significant, they could easily be written off when the creditors find out it's going to cost them more money and a lot of grief to try and get them back.