The sequence you have listed seems to be ok (better check out in the field, before attempting the sequence control).
Also ensure that all feedback and control signals are properly available at the PLC and in the PLC data base.
As you have developed the program in the ladder logic, it should be possible for you test the logic in the off-line (i.e. force all the input signals and verify the proper output signal).
Also check out functioning of the timers (very important), independently by enabling them.
Any further help in this can be provided only on verifying the make of PLC and the ladder logic which you have developed. Wishing you all the best in testing this.