Google Workspace is not working for me, is there a facility to see the current status of Google Apps?

Yes, offcourses. Google provides a Google Workspace Status Dashboard to see the present status of all Apps within Google Workspace. You can check it out here. (link: https://www.google.com/appsstatus/dashboard/) Additionally, you can see the past incidents here. (link: https://www.google.com/appsstatus/dashboard/summary)