Everything you describe can be done in random logic, but it will take some fortitude to get through it. A 2 hour timer, starting with a 32 kHz watch crystal for reasonable accuracy, is 236 million clock ticks per period, or a 28 bit counter, 2 CMOS chips. Bringing out the time periods you describe means replacing the last 2 bits with a 4017 (1 chip) to get the 4 states. A rotary switch can select one and drive an LED, or another 4017 can drive selection logic (3 chips). Then comes the other three timers.
ak