Congratulations on your first fishy friend. Moby probably just needs some time to settle in.
Do you have any hiding spots in the tank for him? A little betta cave with no sharp edges and a soft silk plant will make him feel more secure.
As for the temperature, if he had bacterial fin rot you would want to keep the temp a few degrees lower than usual but that doesn't seem to be an issue for Moby. Keep the temp. @ 78-80 F
Welcome to the forum.
Animal testing is a terrible idea; they get all nervous and give the wrong answers.