Re: No throttle when shifted into reverse.
Is it possible the cables were installed incorrectly, switched at the motor end during replacement?
Disiconnect both cables from the motor. While disconnected shift the motor manually into Reverse, you may need to roll the prop with your foot so the engagement dogs will align and the shifter fully move into position. Great, now does the prop lock to the motor so if you stand on the blade it won't turn or causes the motor to turn over? If so that is good.
Shift the control arm into Reverse, see which cable extended, this is the shift cable, reattach it. Reattach the throttle cable and pull the throttle back to WOT Reverse, look and see if the throttle opened WOT. If it did that is fine.
Shift everything back to Idle, Neutral, attach the hose and start the motor, once running check shifting, you should hear it solidly drop into gear when you shift, The throttle should work, move it carefully, you do not want to over rev it.
Launch the boat and recheck everything.