Great that an old school clean highlighted what was probably the main problem and a new battery seems to have fixed the flood of DTC’s
The problem with the battery post was probably caused by corrosion which usually shows up as hard white crusty stuff (lead corrosion) and/or green powdery stuff (copper corrosion). Corrosion impedes good conduction and can result in low voltage at modules which can then cause start issues and DTC’s, especially if the car can’t start or the alternator doesn’t charge.
If you have lots of green crusty’s, you may have to more thoroughly check the battery leads as the copper under the insulation may be borked and also cause intermittent problems.
Not sure of the specifics for your car but the diagnostic trouble code (DTC) P0633 is a generic OBDII code that stands for “Immobilizer Key not Programmed – ECM/PCM.”
It means that the key you are using isn’t programmed to the vehicle (as the vehicle sees it). That could be because a fault exists with the key itself (so I’d always change the keys coin battery as a first step, note: dropping them can sometimes cause issues as these keys aren mil-spec items) or a fault exists with the wiring of the immobiliser system or one of the anti theft modules itself (I’d first try another key if you have one before jumping into detailed diagnosis).
If a key fob battery change or your other key doesn’t work then you'd have to look at and diagnose the anti theft system which I’ve never done. If you’ve replaced the ECU or other modules in the security chain, these need to be correctly programmed before your keys will work and start the car but as you’ve not indicated you’ve changed such components this shouldn’t be your problem .… though voltage spikes and even cosmic radiation can cause odd faults with electronics, so who knows …
In some older commodores the issue was often the key code reader ring around the steering wheel key slot but I don’t think your car used such an old system and the key reader may be elsewhere… No doubt others who play with security systems will chime in. The workshop manual will define a diagnostics process to resolve this code.
From the www, the C0569 is also a generic OBDII DTC which indicates Ignition Coil A Primary/Secondary Circuit Malfunction. Fuel Composition Sensor Circuit Malfunction and Injection Pump Fuel Metering Control 'A' High (Cam/Rotor/Injector). The GM code and the later parameter may provide more specifics but as the code reports a sensor fault, replacement of the sensor is unlikely to resolve the underlying problem. The engine error is most likely to be caused by the systems that the sensor is monitoring, but might even be caused by the wiring to the sensor itself. So the workshop manual will have a diagnostic strategy for this code... as you’ve changed the fuel pump, maybe some wiring, nearby sensor or module was disturbed?
But the question is does your car now crank and run with only these 2 DTCs being current? Do they come back if cleared?