You might check to see if you’re getting undervoltage warnings. dmesg from the commandline (over SSH) should tell you. Or if you see the red LED flick off and back on, that’s likely a power issue.
I don’t think I’ve seen the issues you’ve described.
As others have said, check your power supply or cables. The official norns PSU may not actually provide enough power for a RasPi. Are you sure it’s 5.25A and not 5.25V with some other A rating? (5.25A seems like an odd number for amperage to me).
What about the power cables (if separate from the PSU)?
Which Pi are you using? Which power port are you using (Raspi or Fates)?
For more debugging, run without a case for awhile and if things start to get flickery again, touch around the Fates board and see if anything seems hot to touch (it should not be).
Triple/quadruple check your solder joints on the display headers (all sides).