A 300AH will likely be capable of delivering 300A for 1 Hour (1C Rate) and take 150A Charge (0.5 C-Rate).
2 Batteries in Parallel can deliver a max of 600A BUT Batteries in Parallel also Divide/Share both Load & Charge between them.
Each battery MUST be fused, with 12V, you can use MRBF, T-Class & Mega Fuses.
* Due to paralleling, you can safely fuse to 200 or 250A per battery pack.
NB: It is generally recommended NOT to exceed more than 250A Pull from a battery bank. 12V@250A = 3000W (Surge Handling excepted).
Battery Packs in Parallel must have Identical Wire Lengths & Gauge to the Common-DC Bus (excluding length of fuses/breakers or other devices).
WARNING ! Busbars are NOT created equal ! There are many cheap bargains out there and MUST be avoided. The few things to NEVER Scrimp on are Fuses/Breakers and Busbars. Use only Fine to Very Fine wires like premium welding cables, NO COARSE Copper and NEVER EVER Copper Clad Aluminum Wire !
Below is a generic "Component" based system setup. It does not show that Solar IN should also be fused/breakered before going into the SCC.