Suggestions on leveling/ filling cracks in sink.

Hello everyone, first time poster here.

I have a lovely (and expensive) Shaws Original sink basin that is a) not level and is b) cracking. It doesn’t drain properly leaving stains at one end of the basin, and the cracks / divots have become discolored and ugly.

Does anyone know if there is any sort of leveler / filler or solution? Or any other ideas short of pulling and replacing the entire sink?

Thanks in advance for the advice.