Is it normal to have minor bleeding after sexual activity?

Maybe not...: Many women have a cervix that is "friable", meaning that when you touch it, it tends to bleed a bit. Sometimes the likelihood of this can be increased by things like the birth control pill. On the other hand, you could have a cervical polyp, or infection, or pre-cancerous lesion. Best advice would be to go to your gynecologist and ask specifically about this issue. Have an up to date pap done.