As I understand it, any second positive cases have been attributed to being an extension of the original infection or shedding dead virus.
It costs £65 for a Bupa antibody test but £125 for private antigen (Current infection) testing.
I would feel far more confident to know I had antibodies and can't be certain when I was infected. The laws are still in place to protect people so I wouldn't present more risk I'd just feel less anxious going about daily life I. E kids at school, eating out etc