OSX Sierra Notes & Reminders sync disabled
Check for a MacOS update, if you have one do it. If not then continue below.



Does your work MacBook have any work-installed profiles in your system preferences? 

A lot of times companies don't allow certain features to be accessed. If there is a profile or a preference there that isnt a default preference then it was installed. 

If you don't have any profiles or special preferences then I would check to see if you can access www.icloud.com and see if you can visit the site on your work MacBook. If you can then great, if not then its likely that the server is blocked, which means that it is either blocked from the network. 

If none of the above apply, then there are 2 things that you can do to test and see if its a software issue.


Sign out of iCloud and then sign back in and see if the issue continues.
Try it in safe mode to see if there is something else that could be preventing it.
Create a new user account on that MacBook and sign into iCloud with the same Apple ID account. See if the issue continues.


If they still don't work with either of those troubleshooting steps then you need to backup the Mac with Time Machine and then the next step is to re-install MacOS and then once its been installed, try it again. It should work if none of the above did.