Hi Ron,
In Charts \ Flights you can Unload the flight - this just removes it from the current chart display.
If you wish to delete it use the pencil icon:
For Moving Map, please confirm you have installed Simlink on your Windows machine and don’t have it running at the same time on your iMac.
Please posts a screenshot of Simlink Status using FAQ - Simlink Install and Systray and Guide to posting Screenshots.
Cheers
Ian