How long will he stay put...

So at 30weeks 4days I went into threatened pre term labor we were able to stop my contractions which were 3 min apart and I'm 2cm 60% effaced baby is in -2 position. I was given steroids to help his lungs develop faster cause they really thought they werent going to be able to stop it. I was hospitalized for that week and sent home on bed rest. I lost my mucus plug the week before this happend then again the day after I got home I have had lots of Braxton hicks & mucus everyday but much more today I'm currently 32weeks 2days. I'm due June 20th but no one thinks he will stay put not even the dr. Its driving me crazy I don't know when he will come anyone else gone through this? Dr says she thinks he wont stay past 35 or 36 weeks then family and friends say the next week or 2.. oh and this is my first baby.