Scott has offered some very good advice.
My suggestion is that you either obtain 100% sponsorship in advance (and this discussion is over) or don’t shoot ANYTHING until you have a contract in place for broadcast. As Scott pointed out, so many of the answers to your questions depend on external parties, that you can’t possibly anticipate everything.
To repeat: 100% sponsorship, and logos go everywhere. No deal in place, your ONLY safe bet is to exclude ANY logos whatsoever.
Getting a “greenlight” for production often depends on pursuing BOTH sponsorship and a broadcast deal, and you may get a tenative “go ahead” contingent on sponsorship… which can help answer some of your questions.
Bottom line… this is why you see so much “blurring” on TV. Nobody ever get’s everything wrapped up neatly in advance.
Good luck.
Mark