Pardon me for the stupid questions

This whole process is way more complicated than it should be!
Alright, I JUST got my new proof of insurance for NC today. I plan on going to the DMV tomorrow. But, am I right that you have to wait to get your registration via mail before you can get your vehicle inspected? I ask because I will be out of town all of next week, which puts me into a little pinch. What happens if you do not get it done with-in the 10 days? I will not be driving it because I will be out of town.
Next, do the prices for inspection vary from place to place?
Lastly, I have a hole in my tail light. It still functions and is covered by tape. It is the blinker section with the hole on it. Is this OK for the inspection? I turn it in in like 5 months and have a protection plan, so if I leave it, I will not have to pay for it!
Thanks everyone!!