Positive HPT then bleeding

Patient: My husband and I are trying to get pregnant. I had a miscarriage on November 1st, then had a normal period on November 12th. I started my period again on December 2nd. On December 31st (last night) I took a HPT that showed positive. It was a faint line, but was very obvious and easy to see. I took a second one(different brand) a couple hours later that came back negative. I took a third test this morning (same brand as the negative one) that came back negative as well. Then I started spotting. Very light pink, and only on my toilet paper. About every 4 hours, there will be a bright red spot, but very little. Am I pregnant or not?!!

Doctor: