Hello T Suominen,
Thank you for keeping us updated about the issue.
As per the description which you have provided in your post, I would suggest you to try the steps provided in the following Microsoft article and see if it helps.
Event ID 512 — Shadow Copy System Writer Functionality
http://technet.microsoft.com/en-us/library/dd363857(v=ws.10).aspx
Hope this would help. If issue still persists post back with current status of your computer and result of proposed suggestion, we will be happy to assist you.
Thank you.
Although it has the same ID, isn't this a different event? The source is different. So what do you think is the connection between
Event ID 512 (source CAPI2) - Shadow Copy System Writer Functionality
and
Event ID 512 (source Store-Licensing) - Windows Store failed to sync machine licenses. Result code 0x80070490
As other users have pointed out, I too observe that the "Windows Store failed to sync machine licenses. Result code 0x80070490" error occurs whenever the WSRefreshBannedAppsListTask is started. One solution would be to disable this task, but this is not
very satisfactory.