I was told I had a miscarriage on the second of this month. Since then my HCG levels have rose and I've had numrous positive pregnancy test. Is it possible that I'm still pregnant or that this is a new pregnancy?

It's possible, although it is not unusual for some women to continue to have positive results on a pregnancy test for awhile after a miscarriage.

Since they have apparently done repeated blood work to check the hcg level, have they also performed an ultrasound? That would be something to inquire about. What has your doctor or midwife suggested?