Yes it does. Crying is a sign of emotional stress, and a panic attack is a moment of deep emotional stress. Everyone reacts his or her own way, and tears can be part of the reaction. You might cry because you feel deeply alone, or because you're afraid you're going to die, which is a common sensation during a panic attack. Please, know that it's impossible to die from a panic attack. I hope you can remember this if you ever go through one again, and I hope it can help you calm down faster.
You are the expert on you. Every person that has anxiety experiences and channels it differently. For some people, crying may not signal a panic attack, but for some people, it might. It just depends on the person.
Absolutely. Panic attacks come in a variety of ways. The signs range from the typical ones (sweat, intense heart beat, agitation, numbness, fear) to not so typical ones (remaining silent and still, crying, running away).
Panic attacks are attacks of disabling anxiety. People experience them differently, as people experience anxiety differently; you can cry during a panic attack, you can remain completely silent, you can scream; you can freeze up, you can run. The way you experience it does not make it any less legitimate.