I don't have visual studio installed right now to give a precise, but if my memory serves......
You can start notepad by using the
Process class which has the static method
Start that does precisely so. You can use it to run notepad in the event handler of the menu, optionally by passing a parameter to automatically open a file if you want. Look here for more details:
Process.Start Method (System.Diagnostics)
For the icon, you can use an ordinary button with a blank Text property and a picture on it and it will behave much like any ordinary button (notably the Click event) but with a more graphical aspect. The best I can tell right now is that you explore the property sheet of it and see what properties can control the appearance. By trial and error you can discover some interesting things about controls.
never tried too much with the Calendar, but again, explore the property window.