Regarding your hot water heater pressure relief valve leaking, are you sure that it's leaking or is it discharging from too much pressure or too high a temperature? Is it possible that it's just discharging and working normally? Also, make sure that the relief valve is positioned in the right direction to avoid any problems. According to
http://accurateinspections.com/
temperaturepressurereliefvalve.htm, "the pressure temperature relief valve output should always be directed outside the building and downwards, about 6 to 12 inches off the surface of the ground or flatwork concrete." I would actually err on the side of too much distance, just to be safe. If for some reason, it's pointed upwards, the discharge could seem like it's "dripping" when the released water goes up and then down. What's odd is that your new PRV was leaking a cup of water. It seems that the problem might not be with the PRV itself (or the installation), but maybe how hot your heater is running. Perhaps it's more than 210F or the pressure is actually more than 150 PSI. Have you double-checked those readings? Good luck