For all wireless devices like the RE524X and the Hardwire 16 zones, enter the same Auto-Learn Sensor mode per the steps in the programming guide above and trip the zones one by one.
For the RE524X, follow enrollment steps in the guide here.
Since they are already configured on the Hardwire 16, you would just need to pair the zones with the panel and program them as the correct type based on what each one is used for. This is done by the sensor group selection. 10 for doors, 13 for windows, 17 for motion detectors.
The devices you have mentioned are all broadcast sensors that do not use two way RF communication. There is no need to remove them from the old panel first, you can just go ahead and add them to the new panel without changing the old panel. You can also use the old panel programming as a reference.