Membrane sweep and mucus plugs

Ok so today i had a partial membrane sweep. ( baby is Sunny side up so my cervix is behind her head and the doctor could only get to a small bit of my cervix ) a few hours after i lost a bit of my mucus plug. Im only 2 cm dilated but i have been for about 3 weeks now. Do we think labor is soon? I know it’s different for everyone but my due date is the 9th and i have a induction scheduled on the 13th because my doctor thinks she’ll go over her due date. So i’m feeling a bit nervous / inpatient.