3 and 4 are correct. 1 and 2 have plural/singular consistency problems. 1. This kind of problem 2. These kinds of problems (which makes it identical to 3)

1 is the only incorrect sentence.

Thank you for your attention.

Hi Robert, I think, necessarily, all languages rules are not Logical. I believe the only real and correct method of each language belong to the general and common speakers of that language. And, as you know, many of them are unwritten.

These kind of problems is talking about multiple problems being similar. These kinds of problems refers to multiple kinds of multiple problems that relate to each other. And the 4th answer is the same as 3 just using sort as a synonym of kind.