A few days after my period ended, my vaginal area started to burn and get really itchy. But I do not have any discharge. Help! It hurts really bad! ?

Vaginitis. You may have a bacterial infection of the vagina or even a yeast infection. Go to your doctor or an urgent care to have them figure out what type it is and give you appropriate therapy.
Yeast? You may need an exam. This could be a yeast infection (and this can be treated with over-the-counter medications); however, yeast infections usually have a discharge. It could also be Herpes Simplex or something else. The best way to find out is to see a Gyn and get an exam. Best wishes.