On the week and day view you can pinch with two fingers to zoom in or out, and you can double tap on the background to switch between week and day mode. Like on any other view, you can use the navigation spinner on the top left to switch view and swipe left or right to navigate to the previous or next view.
To create a new event, tap and hold an empty spot
Tap any event to select it, and use the contextual action bar on the top to cut or copy it. There's also an shortcut to edit or delete the event there. To paste the cut or copied event, tap and hold an empty spot.