The mallet-looking tool is definitely a short starter for bullet or ball, IMO. When I competed with m/l rifles in the NMLRA is used one religiously. Mine actually had a very short starter on one side of the head/ball to just barely seat the patched ball flush with the muzzle, then the longer one, as pictured, to seat it on down a ways. Then, the loading rod carried it on down and seated it atop the charge.
I'm thinking the large black handled tool may be some derivation of a wad cutter?
I agree that the tool on the far right is a bullet mold cherry.