Solar Power System Circuit Breaker and fuse Amps
You'll need to read the specs of those breakers to see if any of them can play with DC.  For instance of many lines of breaker used in North America , precious few do (e.g. QO, but those only fit QO panelboards, they are not standard DIN rail like Euro panels).  Speaking of DIN rail, there are loads of designed-for-DC breakers, just at  EE/design type electronics shops  like 
Mouser, not home improvement stores (except for the odd nuts like QO).

Also given the loads you want to run, you should really seek ways to run these direct on 12V  DC.  Inverting 12V DC to mains merely to power a wall-wart  that makes 12V DC isn't even stupid. For instance if your TV can't take 12v direct, loads of other  TVs can... get one of those.