Regionals probably don't care. In fact they are probably more interested in facts that hint that you might possibly stay with them for a while as a PIC. Such as older, reside in one of their botique domiciles, etc.
I'm pretty sure I only listed higher education, not certificate or vocational training. You could reasonably list significant vocational training, like A&P training, but it's probably just clutter to list many short training events. Exception might be for flight-safety related stuff, such as accident investigator, safety officer, etc.
The other stuff can go on your resume. But again, you want to strike a balance with clutter. This would be a good question for interview prep, since the balance is specific to each person's circumstance. Ie a USAF Aacdemy Grad with a masters from MIT and space shuttle commander time can pretty much leave it at that. The rest of us may need more fluff to fill it out.