You have a bossy boss huh?
I could see a concern for you handling store money by bike, making you a possible target.So why cant the store have a bank branch a short walk away to make the deposit? Then you could come back and get ready for the ride home.
Is that ride pretty easy, and without you arriving sweaty? I would have to keep my uniform in my pack if I did that here in CT during the summer, because you do sweat when its 85 deg with 80 % humidity.