Is it possible to see the login history on Office 365

You have multiple options here.

If I were going about this with an active user, I would add their alias and send a message to the alias asking for a response (or requesting a read receipt). If you are checking mailbox access - grant them access and do the same thing.

Further: You can validate mail flow thru Message Traces.

If your subscription supports it - you can use eDiscovery to search for test messages. Be wary here, you get direct access to messages from eDiscovery searches which may be a violation of your company policy.

If you want to validate SendAs, or secondary mailboxes access from a client - there is no work around. You will need to get the user to verify for you. This is actually pretty common method for dealing with user issues (you can even leverage a remote desktop sharing tool like Lync to view the user session).

Have you tried using wmic? You could use wildcard operators, and tune them to catch whatever programs you'd like to remove.

For instance, try

wmic product where "name like '%Office%'"

You should catch most of what you're looking to remove. You could tune it further to search specifically for the versions or components of Office you know the machines have installed, but it would be likely fine (after checking a couple cases) to have the 'Office' wildcard blast through; definitely doublecheck though!

So just script up something like this:

wmic product where "name like '%Microsoft Office%'" call uninstall /nointeractive

After you know you have your where clause tuned to catch just what you want. To avoid any issues, you can make it as specific of a query as you want.