I don't know about the FSA but I know how the Pemier League's fit and proper test works -
1) Has the person got craploads of money?
2) Does his cheque clear?
3) Err, that's it.
Then he's fit and proper 🙂
PS. I've just read your original post. No, they don't check the credit agencies so you're all right, assuming you've got a default or a CCJ. I think they just check for criminal record, mainly to do with fraud.