Even as an electrician, you will probably need to read up on the differences of 12V battery power. Take that battery down far enough, enough times and you will be buying a new battery. There are 12 volt draws in that camper that will help you kill the battery. Safety equipment, furnace and fridge control boards, LED lights, Awning in/out motor, etc . . . in addition to the items you want to run. Heck, even the LED on that inverter, and possibly the light on your meter will be drawing power.
Many of us have been there, done that. At least, your trailer doesn't have slides, electric tongue jack and some of the other power hogs. You can do this, but a second battery is in your future. If you are out more than a few days at a time doing this, a generator or solar is also. Good luck camping and have fun with the new toys!
Two of these are what I use for non-powered camping on BLM or NP land.
https://www.batteriesplus.com/productdetails/sligc145ut