One option for project created is to use the Audit Log, assuming it's activated - to access:
You can view when one project was created using this - or export the data (button in upper-right) and review it for more than one project.
For when it last had an issue updated, I would just export all the issues for the selected projects from the issue search and locate when the last issue update was performed for each.
Alternatively you might be able to query the database your instance sits on for this data - depends on your setup.
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