This post shows you how to fix 'Error 1053: The service did not respond to the start or control request in a timely fashion' when installing a windows service.
Publishing your windows service in release mode, try to install .net framework version based on your application.
Uninstalling your old service with command installutil -u your-service.exe, then reinstall the service again installutil -i your-service.exe
You can also update your computer, then restart your computer and try to install the service again.