No problem
Accepted students day is different from the informational sessions that they have throughout the year. At accepted students day, there are faculty speakers, a mock tutor group session, lunch with other acceptees and faculty who share your interests (small animal, equine, production, public health, etc). Our financial director discusses how to pay for vet school and you end the day with a tour of the vet school. I think me going to the accepted students day helped me get in. All of us in my friend group (I believe) who got in off the waitlist went. I know a guy who didn't go and didn't get in. But another commentor on here said that she's been twice and got rejected both years. As an aside, I was afraid I'd stick out because I was waitlisted. None of my peers or faculty cared and no one made a big deal about it on accepted students day.
Re transport - if you stay with a student, many are happy to come get you at either the bus station downtown or at the Ithaca airport. There's a shuttle that runs from NYC to literally outside the vet school. Ithaca is not the easiest place to get to. Other airports are Syracuse or Binghamton (one hour away each) or Rochester (2 hours but good luck getting in and out of there in the winter). Syracuse is definitely bigger than Binghamton. It's often more expensive to fly directly into Ithaca but renting a car and driving, especially if you're not comfortable driving in the snow, may be tougher. I grew up in New England and I've had some white-knuckle drives on 81. Let me know if you have other questions!