Coach brings rules book on field - NCAA

[MD Longhorn]

Honestly, from your own description, it sounds like interference.

That said - it's a judgement call, and not protestable. And him coming out 2 innings later needs to be shut down immediately, very much in the manner that you did shut it down.

As to the next games - that's completely inappropriate, and I've seen umpires eject at the plate conference for coaches arguing crap from old games just like you describe.