Odd would see if he could get a trace on there wallet owner's energy, and from there just try to warp it to them inconspicuously as to not make big deal of it.

If he couldn't find them that way, though, he'd just settle with seeing if any contact info was in the wallet/leaving it with the lost and found if not.

Elio would be playing CSI with Rowen and Velek's assistance, inevitably returning the wallet to the owner.

Jasmine/Andres: Return it right away

Youen: Gamble the money to see if he can surorise the owner with more money. he loses it all in the process and lie's about what happened

Ruth would try to find its owner, might end up getting further n further away in the process of trying to find them (chaotic good)
Kingston would turn it over to police or lost and found but would also open it to see if theres any info that can help find the person, may judge them in the process (lawful good)

He slowly contemplates it but the Ho-oh Feather he keeps with him usually nags at him to turn it in-

Though Tyler would've start looking for the owner anyways, he was just imagining what if he didn't-