If you're checking your pet in at 8am on October 7, you need to have the tick/tapeworm treatment administered between 8am October 5 and 8am October 6. Take the time of check-in, subtract 24 hours...that's the latest you can get it done. Take another 24 hours off that, and that's the earliest you can get it done. So, given normal vet hours, try to get an appointment for sometime after 8am on Tuesday October 5 and you'll be fine.
Another vet can administer the tick/tapeworm, though. I did all my PETS stuff in North Carolina, but my pets were in Maryland with my parents when they traveled. My mom took them to their USDA-approved vet and it was fine.