I would say you have vaginal dryness. Make sure and use a good lubricant such as KY or I use Replens long lasting because it helps for several days and is a very good moisturizer. I would recommend it highly.
Take care, K
It is not normal to bleed after sexual intercourse, unless it occurs from your monthly cycle; so you might have a small tear in the vaginal wall or exterior labia. Depends on the amount of bleeding, but you need to see a gynechologist to find out from where the bleeding originates.