The error is very uninformative...
Log Name: System
Source: Service Control Manager
Date: 7/18/2016 10:39:15 AM
Event ID: 7034
Task Category: None
Level: Error
Keywords: Classic
User: N/A
Computer:
Description:
The WSUS Service service terminated unexpectedly. It has done this 3 time(s).
The proper fix for both of these KB's which you SHOULD install:
https://support.microsoft.com/en-us/kb/3159706
Also, don't forget that if you are not using SSL for WSUS you should be!