I would definitely head to the doctor. I have been experiencing somewhat similar bumps, except mine always go away a couple days after shaving.
In the mean time, stop shaving and see if that will help the irritiation.
Keep me posted, I'd like to know what the doctor says if you do go.
It is tough to tell you what they would be, best advice is to see a Dr and get a proper diagnosis. Bumps can be so many different things.