Do I have an immunity to chickenpox?

Once upon a time there was a little boy who, through freakish good luck, managed to avoid getting chickenpox until he was 25. Unfortunately, when I did get it, I was horribly ill and ended up having to take a big course of an anti-viral and an anti-biotic (to ward off secondary infections) to get me back on track. The thing thats got me thinking now is, as my body didnt fight off the virus itself, I've now not got the natural immunity that I would have had with a lesser illness of chickenpox- what I'm basically asking is, did the antivirals kill any chance i got of having an immunity? I only ask because i've now been in contact with a child with the chickenpox- it didnt cross my mind before, and I'd prefer not to be that ill again!