Suggested schematic check DRC settings for Tools>Verify in DxDesigner
I can answer for Altium, and maybe you can translate to DxDesigner.

I pay heavy attention to the group of rules labeled "Electrical": clearance, short-circuit, un-routed net, and un-connected pin. I also pay attention to minimum trace width, minimum annular ring, minimum hole size, silkscreen over component pads, minimum soldermask sliver, and net antennae.

I totally ignore everything in the groups "Testpoint," "SMT," "High Speed," "Placement," and "Signal Integrity." I bet I'll need to worry about those eventually, but they haven't hurt me yet (so far as I am aware).