Thanks guys for the great feedback!
I do know that I need to give it more time. I'm just concerned about waiting and waiting for things to get better, and then realizing that I've sunk so much time in that I feel obligated to stay, regardless of how unhappy I am. I'm not sure where to draw the line between giving it time and cutting my losses and moving on, which is why I thought I'd apply to other schools and then see how I feel in the spring.
Juilletmercredi, I totally see your point about location. I don't think my situation is so much about missing my family as just disliking the new city. I lived in Big City A for most of my adult life, which was about a 5 hour drive from my family. Now I live about a 6 hour (and very expensive) flight away. So it's not that I used to see them much more often, just that they were much more accessible when I wanted/needed to see them. I really loved Big City A, and now find living in Slightly Smaller City B to be a surprising culture shock. I really hate the transportation situation here, I feel very unsafe in many parts of the city (which I never experienced in city A), and the general culture of the city is just not to my liking. I definitely don't want to throw away the great opportunity I have at the school here and if it were a 1-2 year program, I'd be fine just sucking it up, but I also feel strongly that personal life is extremely important to grad school success and I'm not sure I can live here for 5-7 years without succumbing to my own bitterness about this city
I'm also feeling a bit stuck on the advisor front, because I'm still in rotations and therefore don't have a permanent advisor. I could talk to my current rotation mentor, but don't want to burn any bridges in case I decide to stay.