ATK gains don't show in the stat window (only magic stat stuff does).
For legs you can multi-meld some felt trousers with STR/DEX and/or STR/VIT but, at least on my server, they're among the most expensive materia even at base level.
For feet Explorer's Moccasins are a great option, I wouldn't worry about the -enm loss, DRG has the most hate shedding tools of any job (also no one has any idea what the elusive jump enhancement even does).
edit: Yes, but the exp reward will be severely nerfed if the job you receive it on is below the recommended level, the further below you are the worse it gets.
I accidentally completed the last GC quest as R1 CUL (meant to be on R22 ALC, as if that would have been much better, but nothing else to get exp on) and the exp reward of like 6k-ish (for R45+) I think came out to 35 exp or something like that.
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