Another Generator Question

[Ldubs]

I'm sure similar questions have been asked. Sorry if this is a rehash for you experienced folk.

I have a Vintage Cruiser 19ERD travel trailer (30 amp). I'm wondering if I exclude the A/C, what size generator would I need to run things such as lights, TV, water pump, and, Keurig, and perhaps very occasional microwave. We don't have a problem managing usage, meaning we wouldn't run the microwave and Keurig at the same time for example. Would a generator in the 2000 peak/1600 running watts class work well?

Part two of my question: We have a single Dometic brand roof top A/C unit, which I believe is rated at 13,500 BTU. If I were to add one of the soft start kits to the A/C, would I be able to run the A/C off of one of these smaller generator? I suspect this might be wishful thinking, but figure it can't hurt to ask.

Thanks.