I don't know why you can't go to a doctor for 2 weeks, but your health needs to come first. I wouldn't put neosporin or anything on it until you know what it is.
I agree with Dali about the possibilities.
Aj
Don't freak out too much. In the mean time wash your hands after contact with the bumps to avoid spreading. I'm not an expert, but it sounds like molluscum contagiosum. I've never popped one, but I've been on other sites where people said they have and they described a white, creamy core. It could also be warts or folliculitis. For now, avoid touching them unless you have to and if you do wash your hands with soap and water right after. When you go to see your health care provider ask them about it. My molluscum contagiosum was diagnosed on the spot, no tests or anything.