TMI- mucus Plug ( no pic)

Every time I walk I feel like my baby is going to fall out since I feel a huge pressure in my vagina 
And last night I had sex afterwards I went to pee and saw like some sort of tissues in the water I don't know if that was part of my mucus plug (I have never seen it before) (I know it wasn't my boyfriend cum because it's it nothing like that) 
Could that have been part of my mucus plug? 
Does that mean I'm near labor (36 weeks) 

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