Cannot reinstall Google Play Services
You might want to try a trick using the Device Administrator.

Settings &gt; Security &gt; Device Administrators
Deactivate Android Device Manager
in Settings &gt; Apps find the Google Play Services
Uninstall Play Services updates

This might restore the version originally shipped with your phone depending on your vendor.
Check if you can activate Play Services again in Settings &gt; Apps &gt; Google Play Services.
Enable Device manager again, like above.
Edit: If this does not help I'd suggest to backup your data and do a device factory reset. (see e.g. https://www.rd.com/article/factory-reset-android/)