Pregnancy after Miscarriage

I had a miscarriage on March 9th. My HCG levels went from 62 to 15 within two days. My husband and I had sex for the first time after on March 21st and a few more times after that. I still have not gotten my period back since my miscarriage so I decided to take a test to see if there was a possibility that I might be pregnant again and I was showing a few symptoms as well. I got a positive pregnancy test today, April 5th. My question is, could this positive pregnancy test be from any HCG levels from my miscarriage or is this a new pregnancy? Let me know if this makes sense.