We can check the IP's however i don't think that we can help you with this case.
Due to the fact that you have account shared with your friend, and it is possible that your friend has shared your account with someone else as well etc.
The owner of the account is responsible for whatever happens with it after it has been shared, regardless if the action was made by you or someone else.
And my apology, i thought that it was possible to view their equipment / inventory while they are deleted.