Was the computer hacked or the email account?

One of my customers (whose email is hosted on Office365 hosted Exchange) has received a bunch of bouncebacks today. I logged in to the aol account of one of their recipients and looked at the headers(see below). Judging from the header it LOOKS like this was sent from one of my customers employees email accounts (oneuser@business01.org), but a scan of her PC comes up clean, and this message does not come up in her "sent items".
The message itself was one of the typical "Please Open this file" zipped files.
My question is: Did this in fact come from Microsoft's servers (which would mean the hackers are using the employees account)?
Is there a possibility I am not considering?

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From: oneuser Glemaud <oneuser@business01.org>
To: "starpackbt@aol.com" <starpackbt@aol.com>, "sunai123@aol.com"
      <sunai123@aol.com>, "tbikeland@aol.com" <tbikeland@aol.com>, Anne Hotte
      <anne@business01.org>
Subject: Your docs are ready
Thread-Topic: Your docs are ready
Thread-Index: AQHQ8IKijwFzwHyfyEGPM5/BXk3Aig==
Date: Wed, 16 Sep 2015 13:21:46 +0000
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HardwareDudeAsked:
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Jason JohanknechtIT ManagerCommented:
Log into the Office 365 account and see if sent items appear there.  It appears someone may have logged into the account and sent the e-mail.  They might have deleted any traces of sending.  Contact support for your account and see if you can get IP address of any recent account activity.
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HardwareDudeAuthor Commented:
DataPro-I did, there are no signs of these messages in "Sent Items". I did contact support and I am waiting to hear back. I will request the IP addresses of account activity- thank you.
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Jason JohanknechtIT ManagerCommented:
I wouldn't assume that no sent messages means that wasn't the means of sending the fake e-mails.  Probably deleted the evidance.  I would start by changing the password to that account if you haven't already.
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