36 weeks and 2 days

Monday i was checked for the first time and I was 3 cm dilated and 80 effaced. Went poop cause I couldn't for like two days and I pushed kinda hard. My plug came out and so did my bloody show. I went to the hospital they sent me home. Said it could be 8 hours or a week or even 4. So today I'm pooping alot more and am so tired and weak. Has anyone experienced this and how long did it take for labor to actually start? I'm so ready for her to be here.