Not only that, but you have to consider the batteries required. A group 31 battery is a max of 125 amp hours. 100W @ 12V = 8amps. The inverter you posted will handle 2500W continuously so at 12V that's 208 amps, so a single battery will last about 30 minutes.
To run everything you have listed you need a 6000W generator. Look at a Kipor if you don't want to spend the money for a Honda. Here is a good chart to help you figure out the power requirements.
http://powerequipment.honda.com/gene...timation-guide