1. In the current version you cannot limit the scrolling behavior. We will re-consider this in the upcoming versions of the control. The only thing I can suggest is to use RadScheduler ActiveViewChanging event and get the new view StartDate. If this start date is not appropriate, set the Cancel property to true and this will prevent the creation of a new view.
2. I confirm that behavior. It is really not very intuitive. This is because in month cell I have one more cell as a child which is the header cell and the text from the month cell is automatically appended to the header cell. To be honest, I did not realize that users will want to change the BackColor and Text settings of the entire month cell. I will think about the improvements of that behavior. Thank you for pointing it out.
3. We haven't added scrollbars by design in the month view. I agree that a visual cue that you can scroll would be a nice add-in. We didn't add scrollbars because when I tested the behavior in Outlook the scrollbars in the MonthView worked a little bit strange. We will do our best to add a visual cue that people can scroll up/down in the month view.
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the Telerik team