Kirk - are you a 0L, 1L, 2L? If you're a 1L and at MVP, common knowledge seems to be that you need to be in the top quarter of the class to open all of the doors, but top 1/3 will open up a lot of doors. So since it's about to be November, I'd just focus 100% on getting your outlines and gameplan ready for finals.
If you're a 0L trying to decide, Penn seems to do a bit better in NYC than the other two (lots of self-selection of M going to Chicago, V going to DC), but I'm not sure HOW much better a student at Penn in top 1/3 will do than MV in top 1/3.
No work experience is okay but you can't do anything about it now if you're already in law school. If you're a 0L and have a year before starting, I'd try to find an interesting job or volunteer opp's that develop good interpersonal and communication skills. You can use these as talking points for OCI. I've heard different things about how WE helps interviews/OCI - but I felt like it really helped me. Regarding connections, you'll want a good answer as to why you want to be in NYC. TLS kept telling me that NYC firms don't care about ties, but I was grilled about it during virtually every interview. Maybe that's because I was from west coast. Maybe students in east coast can say "I always wanted to work in NYC," but I don't know how they look at that. I just know that for me, they were very suspicious this desert & beach guy wanted to come to NYC.
Backup summer plans for 2L? Probably go back to the home you're from or in a market that you have strong ties to.