A typical sink can draw about 2-3 GPM, a tub filler can draw 5-10 GPM. A draincock at the tank can draw about 5-10 GPM. The total GPM draw could very well exceed the capacity of the pump.
So what do you mean by reset the switch? If you have a mechanical pressure switch with a low pressure cut-off, those can trip at about 10 PSI below cut-in, so around 30 PSI. I consider them to be a nuisance and prone to tripping if draw exceeds supply.