Chickenpox vaccine reaction?

I am 16 years old and I got a chickenpox vaccine in my arm yesterday. It is now very swollen and sore at the injection site. I also am very stuffy in my head/nose/throat and very drowsy. I know the swollen arm is from the shot but could the rest of these symptoms be a reaction from the shot as well or just a coincidental cold? Is a doctor visit in order?