Is it possible to have another chickenpox when you just recovered from it?

I'm not even fully recovered; I still have blisters on certain parts of my skin. but, by accident, i drank from my dad's glass, who just got chickenpox (From me ). and now I feel itchy like the first two days of chickenpox. Am I having another chickenpox or something?

Nope. No way you can get it twice. Its like dieing again when you are already dead.

I highly doubt it. Chicken Pox is a virus that, once in your system, can never come back because your immune system has built up a huge immunity to it. It is very very very rare for someone to get chicken pox twice...