I don't think I was using any custom or granular users or groups. I'm pretty sure I changed the computer name. So I'm not sure if that lead to needing the fix.
If you reinstalled the system, it may still happen.
Users and groups are identified by Security IDs (SIDs). Built in accounts (user accounts such as Administrator, Guest, SYSTEM; and groups such as Administrators, Users, Authenticated Users) always have the same SIDs.
However, even if you use the same username on the new install, the account is going to get a randomly generated SID.
And these SIDs are what are stored on the disks for the NTFS permissions. So if you used something other than the built in accounts/groups, as soon as you reinstalled, those "other" SIDs are no longer valid, and are not used.
This is why you'd have to reset the permissions after a reinstall, in some cases. And why it's best to use the built in groups, whenever possible.
However, if you were using the built in groups, make sure all of the disks are present in the UI (no missing disks), as the pool is marked as read only, if there are missing disks.
I followed the instructions from Drashna above and applied the settings to the Pool (Drive N: in my case). The process did not complete and I received the two errors along with a warning afterwards that the recycle bin was corrupt and requesting that the contents be emptied. Is there any advice or are there any additional steps I should take to apply permissions to the files in the pool?
I would like to attach some screen captures to this post but it was not working in Firefox. Any tips on adding pictures to posts?
The Recycle Bin thing is normal. Windows expects a very specific set of permissions on the folder. If these are "out of whack", it flags it as such, and will try to reset it to what it expects.
As for the other errors, if you don't have ownership of the files, this can happen, in some cases. And in this case, the above instructions are basically the same. Find the "owner" tab or section on the "Advanced" window, and set it to "Administrators". Once you've done that, reapply the permissions, and it should fix everything.
Otherwise, please do grab screenshots. Also, use something like Imgur to upload them. They list a BBCode that you can post here, actually).