You need the tools for the things you intend to make.
Needles are more a cloth thing, though the bone/antler needles could be used for sewing thonging rather than thread (or sinew). Boar's bristles are the most common leather sewing tool later and i suspect in the IA too.
Knife. A small sharp knife and/or a head knife have been aroind since the 1st century at least in the uk
Beeswax is used to seal and burnish edges, but to be honest the bevelling and dressing of edges on leather is something that only starts appearing a couple of hundred years ago. You don't need a banmarie to melt it, just a small pot or ladle and care near the heat source. Unless you are dipping drinking vessels, you can spoon liquid wax over the item (as i have been earlier this week)
Dye can be oak galls, blood, vinegroon or just left fleshy to darken on it's own
Hole punch. The romans especially liked punched decoration as well as the utilitarian round lacing holes.
Awl. Certainly round and square holes are seen, diamond holes are likely since they dominate much of known leatherworking history but i don't know of IA examples