[FashionBiff]

I would lead towards saying you are going to be OK but its very close threshold and a lot of money for a generator that is almost there.
Are the dishes variable thermostat, so if its on med or 5 it is drawing half power or roughly 600w? If so you can run them no higher than say 7-8. Some reading or easier time with a amp meter and math to see what they do to get to temp and what they do to keep it.

What I am trying to say is when ii heats does it draw 1200w and toggle on off drawing 1200 regardless of any settings? If so I would say step up in generator size. Its a big investment and some extra power for lights, fans etc is never a bad thing.