There's a perspective filter somewhere in the filters - it might be called 3d or something like that, I'm not in front of it at the moment so I can't tell you for sure, but play around in there. It will give you much greater control.

Yes, in the Canvas or Viewer, there's an icon at the top of the window that looks like a square with a grey circle in the middle - it's to the right of the view percentage size and the sync/open/gang control. Click there and choose 'Image+Wireframe'. You can then adjust the wireframe to distort the clip...

If you use Motion then there is a way that I know of but it is not as easy as clicking on the corners and dragging but it isn't all that hard either. Bring both your clips into motion then put the one you want on top on top then rotate and size it down as close as you can then choose the clip you want to distort then go into the inspector tab and there is a section called four corner. you have to push the little arrows for each corner until the video matches what you want. This works much better than the distort in FCP. Note that the frame around your clip does not change perspective but the clip inside will adjust.