Is this a fairly new model of Shimano? Go to the Shimano tech doc site
https://si.shimano.com/#/
Search for your particular DR model and then read and follow the appropriate DM for it. That'll start you at square one and if you follow it correctly your DR will work as it's supposed too. You might have to pull the DM for the shifter to get the instructions for the cable attachment and adjustment.
If that doesn't work, or the DM and other manuals are not understandable to you, then you need the help of a bike shop mechanic.
However you might just be a little too picky about noise. Some bikes are going to rub some when in the Big/Big or Small/Small combo. Usually that is bikes with 10 and 11 speed rears which I don't think yours is.