Odd timing, as this is being discussed extensively in this thread:
No, but an undergraduate won’t notice much of a difference in strength.
It’s a very strong program. Yale has large collections of ancient art and papyri, which is nice.
All great options, though Tufts and Pitt are a notch or two below the others. UNC has the advantage of easy cross-registration with Duke, which is also a top 10 (arguably top 5) classics program.
Which state are you in? If you’re in California, UCLA is extremely strong option, and some of the other UCs (esp. UCSC) are also very good. SFSU is the best among the Cal States. If you’re in Pennsylvania, Penn State has the best program in the state after Penn. If you’re in another state, consider applying to your state flagship if it has a good classics program – which many of them do.