Hi,
I have 4 batteries, and very rarely used the 1,500 watt inverter that I installed in my motorhome. It just used to much power. If I was watching TV, using the Direct TV dish, and total amp draw from my battery was 10 amps, changing to the portable 300 watt inverter reduced that to only 4 amps.
SO I would recommend a 300 - 500 watt portable inverter. Scrap the idea of making coffee with the inverter, it draws way to many amps for a 2 battery set up. The 160 watt solar panel can put back about 50 amp hours per day. Your RV will consume about 35 AH daily to run just the CO meter, propane detector and refrigerator. I have a pair of 120 watt panels, 90 watt and 75 watt. This keeps my ahead of my power used.
You might want to add another panel.
SunElec.com is a great place, with great prices. I made my own mounts and run UV rated wire myself. You can get that at Home Depot.
As for the coffee, you can make it with a Mr. Coffee filter holder. Take 3 coffee mugs, and a pot of boiling water. Put in a filter and 3 TBS of coffee. Add a cup of boiling water, (while over cup #1) and then move to mug #2. Add another cup of boiling water (and perhaps a little more coffee) When done making coffee, move to the last spare mug. Don't drink the drippings from the last mug, it will be really saturated and concentrated taste, strong as heck. You can make refils - just add more hot water while over the empty mug.
OR get a 1,000 watt MSW inverter to just run the coffee maker (and whatever type of stuff) and run it only when you need to run the big loads. Run the TV from perhaps a pure sine 250 watt inverter, or a more energy efficient 100 - 500 watt MSW inverter. They are fairly low cost (MSW) you can get a 500 watt Coleman MSW inverter for about $40 at Costco a few years ago.
The 1,000 watt MSW inverter to run a coffee maker would require #4 wire to carry the 100 amps, and be very close to the battery. (say within 6') but not in the same battery compartment, as battery gas is hazardous to the inverter, and explosive too). Then run a #14 or #12 extension cord to the coffee maker, and make coffee that way. Using warm water will help lower the amp draw on the inverter.
Most 1,000 watt MSW inverters will draw about 2-3 amps just sitting there, in addition to the amps they might draw to power the load. So 24 - 36 watts in with 0 watts output, and when loaded to say 800 watts out, input might be 1,000 - 1,100 watts, or close to 100 amps per hour. The battery voltage also drops significantly under a 100 amp load. So it might be 12.5 volts while running the furnace, but drop to 11 volts under a 100 amp load running the coffee maker, and consume 100 amps to put out 7 amps AC at 120 volts or about 840 watts.
Have fun camping!
Fred.