We work in construction and would like the ability to put job start/finish dates on the calendar so we can see which jobs we have coming up/coming to a close to assist with scheduling. We could accomplish this through notes

Yes, a simple note that could be placed on the schedule pertaining to a specific day.
We would need this "note" to be visible to the entire company (both employees and admin).

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To expound on this base idea, for our company the way this would also help us would be to provide a way to add a note on the day to explain a lack of time. The problem this solution could fix is there is currently no way to document an explanation for a lack of time for an employee on that day. We need to keep a record of absences or really any time that an employee doesn't get a full day/week of pay, we like to maintain a record or note so that if there is a need to reference it down the road we can.

It could be a free type field to say whatever is necessary about that day, or be a more complex object with fields like category, contact made (text, phone, email, no contact), notes, etc. Category options could be:
-Called in sick
-No show/No call
-Personal Emergency
-Told not to come in due to... changed manning requirements, job canceled, inclement weather, etc.

This way instead of a day being completely blank on the calendar there can be a record or a note letting HR know at a glance why the individual does not have time on the day. It could be as simple as an open text field or a more detailed item with multiple fields.
Important factors
- Accessibility: create/editable by frontline supervisor and lockable by Admin so that once it is locked it can not be edited unless unlocked by the admin.
- History: edits recorded like edits on a time record
- Visibility: only visible to the manager who created it and administrators

We would like to have the ability to see special notes that can expand on the calendar view of the schedules like you can on an outlook calendar in month view.