I was going to say yes but (and no one seems to have mentioned this) you have a dog. That would make me hesitant to sell. If you can do everything with dog (vet, parks, increased rental fees) then go ahead. Especially if you are sure you will rarely use the car.

For me I use my car only a few times a month so it's parked far away in a cheap but secure lot. I can't sell as I go out further into NJ and other states enough that itd be too much of an inconvenience. When I dogsat for an extended time I found the car very helpful too.

Ultimately up to you! If you expect to only exist in JC and NYC shouldn't be a problem getting rid of it.