Can an orgasm or multiple orgasms cause the mucous plug to fall? also, can the orgasms cause my water to break sooner?

Not likely!: I suppose some might think the process of labor and the experience of sexual climax in women could be linked, but to the best of my knowledge, one takes place in the brain and the other occurs at the opposite pole... I certainly do not think that an orgasm, or multiple orgasms, present you with increased risk of premature labor. You may want to review this with a midwife or obstetrician...