1. Maybe a classy/formal looking uniform to wear (when working) , some underwear and perhaps some comfortable everyday clothes for him to wear when he's off-work?
2. I never send Asterion out. Never. Poor loveable moo doesn't deserve that. Perhaps a third way could be found to permanently get the mirror without torturing Asterion and possibly keep Argos on a short and tight leash.
3. Reassure Asterion that we don't intend to hurt him, perhaps the beginning of a friendship could start here or the beginning of romance/falling in love. Also have him teach us about the business in thorough detail (considering we don't know anything about it) so we're more prepared for the hotel and not just being an spectator/bystander but actually being useful too, to alleviate Asterion's and Kota's workload.