Plug-ins do not automatically transfer when you upgrade versions of Elements. Each version is independent. However, you can install the plug-ins again.
On Windows, you can also simply copy the contents of the C:\Program Files\Adobe\Photoshop Elements [YOUR OLD VERSION NUMBER]\Plug-Ins folder to the C:\Program Files\Adobe\Photoshop Elements 2022\Plug-Ins folder. Do not overwrite any files that may already be present in the new folder.
I don't know the location of the Plug-Ins folder for Macs but I assume something similar will work there too.