Crying is good, it relieves the stress. Even though I am not in your situation right now, but I cry like a lot, if that helps you in any way. I used to cry at my desk while doing my grad school, and other students would see me.

Try to address your core issues, crying is a sign of stress in your situation, and stress may be as a result of more deep issues like, as you said, depression. But also crying is a good sign in general, at least to me, it means that you are probably a sensitive and a compassionate person.