>> Nine takes you to the day of the appointment as did Blue (aka Type)
To the day of the appointment? Or the default view? What if the event is in the future, say, next month?
What Calendar app are you using (and Android version too, please)?
>> Also, when someone sends a cancellation, can there be an option to "Remove from Calendar
Based on my tests with Office 365, the server automatically sets the event to "cancelled" status, and then Aqua will sync this to the device (and mark the time slot as "available").
Right now you can do this by opening the cancelled event in Calendar and deleting it.
But I guess you're asking about a button right in Aqua's "event preview" to remove it completely?