I think 'Stuck Check' should be set to true and 'Stuck Check Auto Reset' to false. You want it to find stuck sims (StuckCheck) but not reset them (Auto-Reset) so that you can find and resolve the issue. I'm not patched up so I don't know for sure but that would seem to make the most sense.
Oh, BTW, great world Simsample. I don't have Pets so I can't try it out but it looks fantastic