sid, The Security Center service can't be started" error message in Windows 7,8,10 or in Windows Vista.
Check the attached links,instruction and guides for resolution, Good luck.
I hope this helped you out, if so let me know by pressing the helpful button.
https://support.microsoft.com/en-ca/kb/2510301
http://www.thewindowsclub.com/windows-security-center-service-cant-be-started
https://support.microsoft.com/en-ca/kb/2519899