It can happen. But it isn't 100% going to happen, having the hcg still in your system can help you get pregnant after a mc.
As for the bleeding, you need to wait to try to conceive until you are sure your body expelled everything.
I bled during pregnancy. Until I passed baby, then bleeding basically stopped but I have severe cramping the few days afterwards and I started bleeding and clotting heavily for 3 weeks after I passed baby. I am now awaiting for my next period
You should wait until your next cycle to begin again. You need to be ovulating to conceive