The customer sounds like the type who would use this video to nitpick everything.
------ On June 1st from 11:03-11:07 you spent your time on google searching for something called an API. I demand you deduct 4 minutes from my bill. ------
Then if you get tired of dealing with it he can trash your reputation and he has edited video to back it up. Let's face it, if someone has hundreds of hours of footage of your work, they can find problems.
The whole thing sounds like a nightmare that could easily spiral out of control.
Just add zeroes until you get that warm fuzzy feeling. Myself, I'd be able to never work again :P
Yes but they will have to spend hundreds of their own time to do that (and if they intend to sue you to get their money back, also a lawyer's time.) I wouldn't worry - they will lose their own job long before they find enough evidence to harm your reputation.
In short, do not expect reasonable behavior from unreasonable clients. :)