The inspector's job is to find any problems for the buyer. The solution to such problems is to either fix them or allow the buyer an allowance to fix them. Otherwise the buyer backs out.

The work you are talking about sounds, at most, like a few hundred dollars--if you don't do it yourself.

I don't believe there's a specific pool inspection license in NJ for residential pools (though i won't bet the farm on it). I believe he's just required to have a general inspection license.