I don't see anything unusual. You're wearing a cock ring and the whole purpose of those is to trap blood which causes the blood vessels to dilate. When that happens you might notice blood vessels that you normally wouldn't because they are dilated. I would expect that if you wear a ring to a longer period of time you would see more and more veins, but I never wear a ring so I don't know. You might trying taking the ring off and seeing if the veins go back to normal.
It probably isn't an issue, but cutting off the circulation to any part of your body for an extended period of time could cause some damage. I think wearing a ring can be a safe activity as long as you aren't overdoing it, not that I think you are based on these pictures.