I agree with not relying solely on the RV converter to charge your batteries. It is waaay too basic. If my batteries where low and I wanted to give a a good jump on the starting process, I would
maybe use the RV converter for a bulk charge, but then disconnect it from the batteries when ready for the float and absorption stages.
With some inverters, there is an option of hooking up the AC end to a panel box instead of using the plug-ins built into the side of the inverter. I believe at one point you were thinking of 1 AWG to connect from inverter to the panel box. If that wire is carrying AC, 1 AWG is not the right wire. It won't hurt anything other than your wallet, but plain, old extension cord wire is all that is needed for that. If the wire from the panel box to the inverter is carrying DC, then the 1 AWG would be good. Since the panel box has circuit breakers, you wouldn't need fuses between the panel box and the inverter for either AC or DC. That would save you some money.
My understanding regarding fuses for the solar panels is if you have a short in the MC4 cable, you don't want to melt the wires. (Duh, I know. Bear with me
) If the wires are rated for 30 amp and you have 3 parallel connections @ 5.92 amps, you would have 17.76 amps max. If you had a catastrophic short in the MC4 wire, you would still be well within the 30 amp rating of the wire and it wouldn't melt. I'm thinking you wouldn't need fuses from your solar panels to your charge controller.
DC current likes to arc and melt connections. I see you have a switch in between your panels and the charge controller; much easier to do that than trying to drape blankets over the panels to stop the electricity. The switch could come in the form of a circuit breaker, so you would still have your "fuse". Sounds like a 20 amp fuse or 20 amp circuit breaker would be the size you need between the panels and the charge controller.
I was originally going to use dielectric grease for my connections, but Sternwake recommended DeOxit. That is the stuff I will use. You need to put something on those connections, too; don't skip this part if you want it done right and to help prevent poor connections in the future.
Here is a link that shows the best way to hook up batteries. I've read elsewhere that it doesn't matter as long as you have big enough and short enough wire, but I'm going to wire up the batteries like this link shows. I want to baby my batteries and will do everything I can to ensure their longevity.
http://www.smartgauge.co.uk/batt_con.html
At the end of this link it states, "And finally, finally, we keep getting asked where the chargers should be connected to. We didn't address this question because it seemed so blatantly obvious where they should be connected that it never occurred to us that anyone might be unsure. The chargers should
always be connected to the same points as the loads. Without exception." That means the charge controller should be connected at the same point as the inverter. The inverter is a load device, so the load would be connected at the same point as the charge controller which is a charging device.
It may seem weird, but the wire for the charge controller can directly touch the wire for the inverter.
The charge controller manual will state which fuse is recommended. Since it is a 60 amp charge controller, I bet it will be a 60 amp fuse. I would rather change that fuse than open up the charge controller and change the fuse(s) in there; those fuses may be proprietary, too, which would suck. The inverter will need a fuse between it and the battery. It will say in the manual. There are slow burn fuses and quick burn fuses. For the inverter, I imagine it will need to be a slow burn fuse. Since you have a small 300 watt inverter, an automatic resetting circuit breaker wouldn't be that expensive and would be quite convenient. The magnetic type circuit breakers work better over the long haul compared to the thermal breakers. Whatever you choose, don't cheap out. Get good quality fuses or breakers.
If I ever have the need for shore power, I'm just going to use an extension cord. My electrical needs are so small that I don't have the need for special 30 amp or 50 amp RV hookups. If my batteries are low with no solar coming in, I will simply plug in a quality battery charger and clamp the cables onto the batteries.