Normal?

Chelsea
I'm 36 weeks and 6 days one week ago I had some strong contractions start in afternoon so went to hospital and started bleeding... then I lost my mucus plug the dr confirmed it was and I carried on bleeding and having regular contractions thru the night so stayed in as thought it was early labour, by about 5 am all contractions stopped they gave me tablets every 4 hours and then by lunch the blood stopped aswell, I only bleed when I weed.. since then I have had contractions and tightenings  on and off and been taking parocetmal is this normal to happen for a week? They also did a check and my cervix wasn't open atol which was another reason they sent me home this is my first baby and I'm just worried over it all? Any advice would be appreciated xxxx