From which Securitycheck Pro version are you trying to update? Old versions of the extension that used the Akeeba live update give you this message because I have removed this feature (the extension now uses the Joomla core mechanism).
No, it's not related to Admin tools, it's related to Akeeba Live Update, but 3.1.1 version doesn't have it (I removed it many versions ago). Can you check if tmp folder exists and is writable? Check this
Last edit: 5 months 2 weeks ago by Jose. Reason: Add more info