Check with OB. If cervix is thin, she could do a cleavage.
My cervix feels sore. I wont call it pain but it's uncomfortable. I worry too.
As Annie said check with your OB, if everything is fine with your cervix!
I don't want to scary you, but my previous pegnancy (last june) I lost my baby boy at 5 months (incompetent cervix) and I've experience these sensation (weight on my cervix), I thought it was nothing and at my appointment with the MFM, they found out that I was funneling (cervix open from inside, cervix length was only 1.1cm).
wish you all the best with your pregnancy!