MadMango... I got your PM and I am going to try to answer the best I can here. Note the attached hand drawn schematic is bad, I know... I didn't have time to electronically draw. Just post back if I can clarify anything. My comments are below on your schematic: I hope this helps. BTW.. good for you tackling this. It is complicated and confusing depending on your electrical background.
1) You should have shore/gen power directly to your power strip. You can move the input of your power strip from the Shore input (just make a shore power outlet) to the inverter output as needed. Just mount the inverter near your shore power outlet. To have just your shore power running your charger is very inefficient as already mentioned by KCStudy for a few reasons. Note.. you can get an auto transfer switch to do that automatically if you plug in… but it is not necessary. I did that in my CTC because I wanted to.
2) You should just get a charger/converter that can run your DC and/or charge your battery when on shore power. Just wire it to the Shore input through a switch. You can turn it on and off as needed. Also note, that it will not hurt anything to have a 12VDC Converter/Charger on at the same time as Solar is charging. It is not efficient, but they will not hurt each other. They both adjust their outputs accordingly. I have done this and it works fine… I cannot speak to what would happen with a " run of the mill battery charger" which is not a DC power supply also like a Converter/Charger for RVs are. I'd put a switch in to turn the converter-charger on/off so it will only be on when there is shore/gen power and the switch is on so it isn't on when not needed.
3) You should put the appropriate sized DC breakers in the system. I noted where I’d put them.. make sure they are sized right once you know what power you will be driving. They will protect your wiring, and also allow you to isolate circuits for troubleshooting.
4) The size inverter you have (1800W) is a good size but I’d be concerned if you intend to use 1800W off grid with the two small batteries you show. It will drain the 35Ah batteries in less than 30 minutes if you are running it near load. 1800W is roughly 144A @ 12.5VDC.. You shouldn’t run much of an inverter on such small batteries.. In fact. If you are going to use that small of a battery, you may not need to 200W of solar… I’d go with at least 115Ah total battery capacity but 230Ah as ideal for 200W solar and good all around capability for most things (that is 2 12VDC Exide type Deep Cycle batteries or 2 Walmart 29DC series you can get for $99.00 each. Think about how much AC power you need off grid and work backwards to size what you need. There are ,many good websites to explain how to size your system. I can recommend , if you state your intended AC power consumption off grid.
5) On your schematic, it appears you are switching a DC ground.. You don’t need to do that. Only switch the 12VDC hot and tie all the grounds together and run to the chassis where you should also ground your battery.
6) Lastly… the schematic I hand drew is bad I know… but make sure to put in a battery disconnect switch. For two reasons… a) to isolate the system from the batteries if you are working on the system. B) you can shut down the system quickly if there is something bad going on and breakers didn’t pop.
This is just my 2 cents… there are a few different ways to get where you want to go.. but what I have drawn is most simple if you want solar and AC power off grid.
Note you could also buy a Power Center that includes AC/DC breakers and combines the converter and etc... It would simplify this schematic greatly. I didn't go that route only because I do not like integrated systems that if one thing goes bad, I need to replace the whole thing.. plus... I am a gadget guy and like to tinker with things.