Have you thought about maybe having your parents look at the forum here for family support? Either way....they can't get you sober, only you. Its hard getting sober with some many around you wanting to help when many of us just want to be left alone.
I rather post here....no one pushes me, preaches, blah blah. It is simply put out there for me to either take it or leave it. We get it so keep posting SS. Your parents are just trying to help but maybe you can turn them onto some internet reading on support. It may help them get what you are going through and find some help for themselves.
If you don't think they will change then look at you or me or anyone around here. Change is possible. They will do far more good being supportive but they can't walk the line for you. Only you can do that.
So happy you are staying sober!!