After Some Time my Serial Port Stops Refreshing

If Serial stops, the problem is most likely the i2c bus is hung trying to read the RTC. the latest version of the Wire library supports timeouts which may be useful.

I would also suggest that you simply calculate the number of minutes from midnight as your on/off times and simply things

const unsigned int onTime = V1HON * 60 + V1MON;
const unsigned int offTime = V1HOFF * 60 + V1MOFF;
....

unsigned currentTime = myRTC.hours * 60 + myRTC.minutes;
if ( currentTime < onTime || current Time > offTime ) {
  // turn relays off
}
else {
  // turn relays on
}

Since you dealing on the minutes scale, you also do not need to read your RTC every second. You could easily make you delay much larger.