Don't worry, I guess Prozac just isn't the right medication for you.
I had the exact same problem but even worse. The weather here in Canada was pretty cold recently while i've been taking Prozac. Ever since it got hot I felt weird off Prozac. I felt extremely hot and it felt hard to breathe as well, it felt like I was controlling my breathing manually at times.
Not to mention, I felt really restless as well, I couldn't sit still or lay down during the day and had to constantly be doing something.
Just let your doctor know that you feel this way and you can try a different medication.