Happy to help! Existing 5800 series wireless Honeywell sensors would be compatible with the 345Mhz version of the IQ Panel 4, found below. They could be programmed into the panel without any additional hardware. If you have any wired sensors a wired to wireless translator can cover those.
I would recommend the IQ Panel option.
Alternatively, the Honeywell Vista 20P panel is compatible with our service by way of the Alarm.com system enhancement module. The ADC-SEM300 would be needed.
A guide on the SEM compatibility and setup is below.
The SEM is more complicated to install and setup. But if you are considering replacing the prom chip then this would be the way to use the Vista 20P.
Just a quick FYI, the motion detector in your photo looks like it is installed upside down. Here is a link to the manual for installation reference.