INTERMITTENTLY FAILS TO ENGAGE REVERSE

The car fails to engage reverse intermittently. Until after some careful patience of moving the gear lever up to park, drive, neutral and then to reverse, which it'll eventually engage.
Although, on diagnosing the car, I found out 12 data trouble codes including pending ones too.
Here're the codes as diagnosed:-
(1) PO-300
(2) PO-301
(3) PO-305
(4) PO-306
(5) PO-100
(6) PO-110
(7) PO-135
(8) PO-141
(9) PO-500
(10) PO-705 & 1705 RESPECTIVELY
(11)PO-135 AND
(12) PO 141.
So pls. What could have been the possible course for this Auto Transmission Reverse failure and how do l effect repairs on the gear for the gear to return to normal selection processes.
Thanks in anticipation of your report/response.