Yes!! Normal!! I am almost a carbon copy of your stats (length of time smoking/amount). I also posted here because I was worried, and then I checked a few other sites as well.
Apperently, because your blood is getting so much more oxygen, you are getting dizzy...how scary is that, folks!?! It could also be anxiety and stress from stopping, or a combination of all of the above.
In my case, it lasted about 10 days, and then mostly dissapeared. It can last up to 3 weeks - I read that in a lung assoiciation website somewhere.
Hang in there - all the awful stuff ends fairly shortly - Monday will mark 1 whole month for me... I am feeling great, a little heavier, but otherwise not too bad.