1st off congrats on getting your PPP, and good luck with your future carrying endeavors!
#1) NC is NOT a stop and ID state, so if a cop stops you and starts asking questions (unless you are doing something illegal/driving a car) you dont have to answer or let them search you. All you are required to do is give them your name and address, you can do so by just telling them.
#2) It is illegal to carry into establishment that sell alcohol by the drink or otherwise known as ABC on-premises consumption. that includes bars and most "sit-down" types of restaurants. there are plenty of eateries/restaurants that dont serve alcohol, so as long as they are not posted, you are perfectly fine in carrying there.
#3) this is is probably the toughest to answer because there really is no "right" answer, but plenty of wrong ones. These are a few of my suggestions: Most obviously NO SUDDEN MOVES especially towards your gun. be polite yet stern, dont be afraid to stand your ground if you truly believe you are correct. Do not actively or physically resist if the police go "hands-on" but state loudly and clearly that you are against what they are doing, but you will not actively resist. Oh and keep a recording device with you at all times. I have a voice recording app on my phone, just 2 quick clicks and I'm good to go. If I have enough time I'll turn on my video recorder. NC is a single party consent state which means that only one party being recorded needs to consent or even know they are being recorded. (you are always that single party)
I'm sure plenty more people will reply to this with much more info for ya, so good luck and be safe.
Oh and to just CMA (cover MY @$$) IANAL but I played one when I was sued (and won)