Creating a circular IF formula and having formula not being deleted is value is input

Hello,
I am new to using excel and do not know much about it, however I am trying to create an excel sheet that 3 different departments will use to schedule their employees. This is so because the departments have staff that work in more than one department, currently each department creates their separate schedule sheet but this has resulted in the problem where employees are being scheduled in two departments at the same time. I tried to create the excel sheet so that once information in entered into the schedule of one department for the employee that is also in the other department, on the schedule for the other department in the corresponding cell appears the name of the department that person has been scheduled in but this only works one way and not if the information is entered into the other department first and also if you try to enter a value into cell that was reading OPEN, the formula is then deleted that was there. Attached please see sheet showing what I have done so far, I would greatly appreciate any assistance. Basically we want if a manager goes to schedule and employee will see if the employee is already scheduled in another department.

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This is a pretty big request in one chunk. I'm sure you'll get better response if you break down your question into several parts, so that they can be tackled one after the other.

Also, we're happy to help you with your effort, but nobody here will be keen on developing a solution from scratch. This forum is about helping people learn how to use Excel, not a free development service.

Have you started any work on this project yet?
How far did you get?
Where are you stuck?

We can help you develop your own code, but if you want someone to code this for you all the way, you should try and find a commercial developer.