No, short R117 and the other one in series with it that connects to the bridge rectifier. This is the bootstrapping supply that would normally power IC101 until the capacitor that blew up supplies the power. I don't understand why the capacitor blew so violently. The IC101 power supply (D104, C106) should not have that kind of energy available. Perhaps the main transformer or T103 primary to secondary arced or shorted.
R104 is part of a snubber. R105 is the FET gate resistor. Yes, you can use carbon, but R104 especially needs to have sufficient power rating. They are not wirewound, they are film. What you see is a spiral cut.
Edit: Correction: No need to short R117 for the test, just the other one. Don't forget to remove the short before going back to full voltage!