I have a travel tote for Jax too that has his name on it as well along with a paw print. Mine is a different style than the one you have and I can't remember where I ordered mine from but it comes in handy!
Yes, they surely do! It's a nice size, big enough, without being bulky and cumbersome!
Michelle - Asheville, NC
Mom to Leo (5/21/2010-3/26/2019)
Mom to Molly (DOB 8-1-09)