The main 100A fuse may be too small.
Assuming 85% efficiency on the inverter, it would draw nearly 98A at full load.
(1000/.85)/12=98.04. Even at 864W it would draw 84.7A.
With 84.7A, the fuse should be 84.7x1.25=105.9A. You might get away with a 100A fuse, but when you consider the other loads.... it is not going to work well.
The 360W load on the DC socket would draw 30A.
I will assume 30A on the PowerPole
That is a total of 84.7A + 30A + 30A = 144.7A Assuming the BMS can even handle that much the fuse should be 180A.