I think that napthalene is first oxidized to phthalic anhydride (even though the procedure omits the oxygen gas needed in that case...), which is followed by conversion into 2-carbamoylbenzoic acid (the structure shown above). This is then reacted with KOBr to give a Hofmann rearrangement, resulting in the formation of 2-aminobenzoic acid.
Why anyone would write down KOBr instead of the commonly cited Br2/NaOH procedure is beyond me, though, as it seems to be an unusual homebrew variation.
No idea about the resorcinol reaction. I've found references to the synthesis of 2,6-dihydroxybenzoic acid, but the procedure quoted here would be woefully inadequate for that.