What tires and tubes

Getting back into triathlon after many years, but the wife is not happy. So I have to try save money and wanted to keep using my old HED wheels. I bought a 2014 P5 and I am using my old HED Jet disc and 60 with 25x700 continentals.
Problem is that I am having a hard time getting the disc to fit in rear drop without rubbing.
What tire/tube combo should I run? Should I shave brake pad?

What’s rubbing?