I've collected a bunch of Mosins, but have not thought about the kits that were included with them for a long time.
A friend recently bought 2 M91/30s from AIM. He asked me what the various items were used for. I couldn't give him a good, detailed explanation.

Could you fill in the gaps?

The thing that looks like a screwdriver/comb. I know one of the grooves is for checking the firing pin length.

The knurled cap thing is a crown protector when cleaning.

One item is, or looks like a cleaning jag.

Another item that has a hole thru it is probably a handle for the cleaning rod?

And the last is a small rod with part of it scooped out a little. I don't know how else to describe it. Have no idea what it's used for.