My father asked me to sort out some things on his MacBook. He's recently left his company where he used his laptop on the company servers/IT system whilst he was there. At some point in the past he got some tech support from the company IT department and they might have set up some software on his laptop.
Whilst in the App Store application I tried to install some updates but it failed to connect with a message something like "could not contact the app store server at apple.<company-domain>.com".
I thought this was strange that the App Store thought the update server was one at the company domain so I had a look around the Mac settings.
In settings I found a "profiles" section and inside there were some items which appeared to be some sort of trusted root certificate issued by <company name> and something that said it enabled remote management of the laptop by .
It also may have had a configuration profile with something like "Mobile Device Management", although I can't recall exactly.
I promptly deleted them all and the app store then worked as normal.
Can anyone explain what these items were and what security implications could there have been? Could <company name> have performed man-in-the-middle attacks on my father's web traffic? Would deleting these items such that the "Profile" section of Settings is no longer visible protect from any access or control from the company's IT department?
This may be more appropriate for security.stackexchange.com but I'd just like to understand if any privacy may have been breached.
Edit
This is the kind of item present, although this is not the actual one but a screenshot I found:
