Situation 1:
I would like to confirm this: I have many 750W Platinum PSUs and would like to use 3 750W PSUs (one for each hashboard) to run 1 S7. I do realize that it would only take a 500W PSU, but I have 750W PSUs.
Situation 2:
Next: there are 3 hashboards at 400W each making the total for ~1210W. Utilizing VA=W, this would come to 3.6A each hashboard x 3 hashboards = 10.8A for the entire S7. This would keep it under the 80% utilization of a 15A circuit. Does this sound correct?
you should be fine with both 1 and 2.
a 15 amp circuit should be able to do 1500 watts 24/7/365
You just have to remember that a lot of 15A circuits in homes are wired to multiple outlets and/or lights. Make sure you know which outlets are on the same circuit you use.
If you had a good electrician they write inside the panel what each breaker goes to. It will give you a pretty good idea of where it goes. Lights these days don't take up much power so I would not be to worried about them.
If you don't have inside your electric panel a diagram with what breaker goes where I suggest doing it. You can easily do it and see what each one turns off. (Yes you need to be safe and if you don't know about electricity don't do this).
It may sound dumb but if you are using a surge protector try 2 of them and split load or at least a different one. I had one that S4 (approx 1400 watts) that surge protector liked to trip. It was solved by switching surge protectors.