That happened to me next morning I was in labor good luck!
Its your plug that is coming out u can still take baths and have sex.Semen contains prostaglandin,a natural fatty acid that helps soften and dilate the cervix.That, as well as having an orgasm, can cause the uterus to contract to help speed up the process.
I recommend to walk alot and sex yes I beleive its safe.
Can I have a bath and have sex if wanted to get things moving more