That sounds a delicious dress code, but I hope your Owners let you wear a coat out of doors - both for health and for safety. Liverpool isn't Los Angeles!
As for the possible clash over the harness, that's not your concern: if you are afraid Their orders will clash, you should raise the question and let Them settle it between Themselves. If the answer is that you're just going to be in trouble sometimes, then at least you'll know it's intended.