There is no salon/barber shop right at the resort. But, I'm guessing the folks at the front desk can give you several suggestions of where to go in the area. FloridaFam is a regular poster who now calls Vero home -- maybe she'll have an idea.
I believe there is a beauty salon on the corner across the street from Vero for an upscale haircut. I've gone to great clips next to Publix for an inexpensive haircut. Inexpensive, nice and friendly, I'll go back there if needed. They could probably straighten out what you need. Meanwhile you could go to the Chinese take out and the adult beverage store in the same shopping center, just in case it turned out worse.