Good news on all fronts. A GH of 6.2 is actually "very soft" so that suits pretty much any/all fish from South America (tetras, pencilfish, hatchetfish, cory catfish, dwarf cichlids) and SE Asia (rasboras, gourami...I am leaving out the danios and barbs due to the tank size, and most of the loaches need more space too). This mean well over 2/3 of the fish in the hobby!
It also means you don't need to fuss over the ammonia, as it will be harmless ammonium with an acidic pH and the pH is bound to lower below 7 in soft water, especially as the organics increase and decompose in the substrate naturally.
On the filter, I would recommend the small Aqueon Quiet Flow. You mentioned cory catfish and this will benefit them. The flow is adjustable, but my 40+ cories do appreciate it, and the better surface disturbance ensures a good oxygen level in the water which helps them a great deal.