Examsoft has a fix on their help site here,

Windows - Application Service Unavailable - Examplify
If you are receiving an error that says Application’s Services are Unavailable or the Application’s Service is not connected on your Windows device, follow one of the two solutions below to fix the error. 

Solution 1: Close the Examplify Application. Once closed, right-click the Examplify shortcut and select ‘Run as an Administrator’, Examplify should launch successfully.

Solution 2: To start the service manually, press the Windows key and type ‘services.msc’ to open the services manager. Find the ‘Examplify Service’ and double click it. Make sure it is set to ‘Automatic/Started’.