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Shops can be identified by the signs next to their door entryways, and can be looked at to determine the type of store.

Additionally, shops can only be found in the larger human towns (which show up in yellow, as opposed to white on the adventurer map).

I believe a hunter should pick up a leather armor by itself like he does with a crossbow. However you could draft him into military and assign him any weapon and armor which he will be using for hunting when he has no military duties.