I usually go with temurin, I like there policies.
About what version should you use, if you are deploying whatever you are doing, i would stick to the latest TLS(Currently 17). But if you are trying to make an app that expects people to have a JRE, then probably using the 8 TLS would be a better option and easier for users to deal with (Unless you are targeting programmers or linux users, then again, latest TLS would be imo best option).
Java really seems to maybe have a hit again