Bleeding after cervical exam? (Long read sorry lol)

Arah
Ok I'm 36 weeks and last night I went to the hospital because I thought my water broke. So she checked and then she checked to see if I'm dilated and she said that I was about a fingertip and there was bloody show, then she put a pad underneath me and left for another nurse to come in. I waited for about 30 minutes and she came in and check and there was some blood on it. She said that was normal and left to call the doctor so they can do an exam what was like a pap smear. The doctor comes and they do the exam and after she was done she said that my water didn't break and sent me home, after I got home I tried to use the restroom it would start to burn really bad and there would be blood. So I waited it out and woke up like around 4 this morning to use the bathroom again but this time it didn't burn as bad but when I wiped there was more blood, I went back to bed but then went to the restroom again 10 minutes ago and well there was more blood again this time there was a lot of mucous. Is this normal to still be bleeding the next morning?