Concerned about security due to strange tech happenings at home
Tracert screenshot is normal. Question has been asked many times before.
1 2 3 4. The devices in between don't respond to those ICMP requests hence "request timed out".
Mysterious Z:\ drive is not very mysterious https://windowsreport.com/windows-10-z-drive/
That new drive labeled (Z: ) is the restore partition which is added to give you the option of restoring back to your previous version of windows. It is nothing to worry about, and should not be deleted.
Is your laptop in airplane mode??