Do you think I'll go into labor soon?

Hello, FTM here. I'm 39 weeks and need to have my baby soon due to a few reasons. This has been a very healthy pregnancy for the baby, as he is nearly measuring 8 pounds now, and my doctor said if he came soon that he would be perfectly healthy. I was already dialated 2 cm with a very soft, thin cervix. I went ahead and asked the midwife to sweep my membranes today, and shortly after I got home I had my bloody show. I also drank some caster oil 1 1/2 hours ago. My question is, do you all think I have a good chance of going into labor in the next couple of days? Has anyone had profitable results from getting your membranes swept and/or drinking caster oil? Thanks!