Seeing as the Dead battery message means the battery voltage is below 9 volts. So like you said yo may need to get it above 9 volts using either solar or charging via your ACR. I suspect from what you have said that you have done that and it will not reset itself, (which is what generally would happen)
I would get a DVM and measure both the battery voltage and the voltage at the terminals at the inverter. The two voltages should be 0.5 volts within each other.
The reset button(soft reset) is above the ports for the remote, temp sensor, network. A hard reset entails you to remove both AC power and DC power.
A class T fuse holder should be between the inverter and battery
The fuse itself looks like this
The disconnected part is a micro relay, not sure what it is being used for, but it would plug into a socket that fit the tabs on the back.
-greg