I think I did 10 days ferment on my first batch, I'm GUESSING that you'll probably be ok. But the general rule is 2 weeks minimum.
And on letting your bottles carbonate, do what you want. Some people let em sit crazy long, then there are impatient people like me who can barely wait a week.
When you get into your beer after 5 days you can always justify it by calling it "research"! Works for me
Welcome to Brewing and HBT by the way. I hope someone has warned you that you will soon be obsessed.
Cheers to your first batch, what was it by the way?