Hello Ron, welcome to the forum.
A 1,000 watt generator is fairly light, and depending on what you want it for it will probably not be enough.
It will not power most microwave ovens.
It will not power the air conditioner.
It might not power the battery charger.
It will power you 120v outlets for up to about 800 watts.
It will run the 12v accessories, but possibly not charge the batteries.
Assuming you are mainly concerned with the maintaining the battery state of charge, it would be helpful to know what converter/charger your trailer has. Some chargers have a 40,50,60 amp charge mode that a 1,000 generator can't power. In these cases the batteries will only get a trickle charge and take days to recharge. Depending on your needs, you might want to consider a 2,000 watt generator.
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2001 Suburban 4x4. 6.0L, 4.10 3/4 ton **** 2005 Jayco Jay Flight 27BH **** 1986 Coleman Columbia Popup