Is it just me??
How would YOU turn the relays on and off at specific times, using just a watch and a list of off and on times?
The Arduino has a watch (you gave it one when you connected the RTC), so it is capable of turning relays off and on at specific times, IF it has a list of on and off times.
The only challenge is providing the Arduino with those times. If you simply hard-code them, turning relays on and off at the right time is trivial.