Seems that IF the Holy Spirit were in Pauls' heart then Paul would have executed the instructions given to him at the Jerusalem Council. The 4 necessary things that were deemed necessary by the Holy Ghost. You remember those, right?
Do you have the verses where Paul states and instructs the Gentile converts about those four necessary things?
Those instructions weren't specifically directed to Paul and weren't the sentence of a council, but a pronouncement by Peter:
These are standards characteristic of Jewish expectations of "G-d Fearers" or "Righteous Gentiles" such that they not defile the synagogue.
Realize that Paul had the specific goal of both saving Gentiles and bringing them into the synagogue, in part, to save Jews (the "strong" and the "weak" in Romans respectively, the discriminant being faith). That meant that Gentiles knowing next to nothing of Torah were entering the synagogue claiming co-participation in the blessings of G-d.
There is necessary, and then there is whatever else the love of G-d inspires one to learn and emulate from the word. Think you that learning anything from the Torah has no benefit? Paul made it absolutely clear that it was faith which constituted the principal determinant and not legalism. He also taught that the Gentiles were to be 'law respectful' in a manner similar to the Noahide law for righteous Gentiles and the four criteria you cited. Neither of us will ever know all of what he taught.