My gynae told me my baby got engaged when i went for check up on my 35th week. But, I asked her if baby is coming out then she said not necessarily as it depends on the baby.
She said some baby got engaged very early but just dont want to come out till due date!
I also realised there is more discharge and I think it's normal cos baby is putting more pressure on cervix, therefore more discharge
But if the discharge is bloody, then it can be a sign of labour i guess.