Went to China alone without knowing a word of Mandarin. I pretty much relied on catching free WiFi to use my translator.
Looking back, it was a stupid plan, with all the sketchiness in China. But hey, I'm still alive.
@OP, I don't think a week is enough for New York. For the price of the flight, I'd personally only go if I had 2 weeks. There's lots to see. But either way, it's your call, you won't regret it!
I'd totally go with you if I had more vacation days left lol, but I'm planning to hit Vegas again before the end of the year