False positive after miscarriage?

I had an early miscarriage on February 11th last month, at 5 weeks and 2 days. I only bled for one night, with a little spotting in the following days. This month, I’ve noticed all the same symptoms I had before my BFP last month (dizziness, exhaustion), and now my period is late. I know that it could take up to 6 weeks for the cycle to normalize, but I took a test anyway - positive. My friend told me not to get excited, because there’s a good chance it’s just residual hcg. I thought with such an early miscarriage, the hormones would have already left by now? Anyone with a similar experience? I’m so scared of getting my hopes up for my rainbow baby, but it’s hard not to! Is there hope?