I Have Anxiety, And I Started My New Medicine Today.

I have anxiety, and i started my new medicine today. 20mg of Prozac, generic. Im 16. I took it about 1030 this morning, after about a hour, my anxiety got pretty bad, i was tapping on the table at work. My chest has had this heavy feeling all day. It feels as if someone is taking their hand and pressing it on my chest, along with that, i have been feeling lightheaded and/or dizziness, is this normal?