The bloody show?!

I’m 35+3 & FTM. Thursday morning lost part of my mucus plug. No biggy. There was no blood or any contractions. BUT - This morning at 4am had a small gush of pink fluid. Sat on toilet to pee and when I wiped it was pink. This is what was in the toilet bowl. I went to hospital and the swabbed to check if water broke. It didnt. I had some mild cramping at home and in the hospital but since I’ve been home, nothing really. Baby still active. I just feel like they should’ve done ultrasound. They didn’t check my cervix to see if I was dilated, just to do swab. Should they have done?

I’ve had some brown mucus discharge since. Can I anticipate labor coming very soon?