Should I be concerned with the watts or the amps?  All of my equipment(2-1200w warmer, 1-500w soup kettle, 1-1450w water heater) plus a small fridge and water pump.  Total watts is 4340 and total amps 56.2 for all of my equipment. 

Remember Watts = Amps X Volts
 
56.2 A @ 110V = 6,162 Watts.  I’m assuming that is your surge watts and 4340W is your running watts.  You should be fine with a 5,000W gen assuming you do not start everything at the same time.