The last Sony Vegas that I have is version 12 and I don't work with it since a long time. So most contributers here don't use that version , I give you a very little chance to get a decent answer for that use in Sony Vegas.
What is "click"? ..mouse-click, keyboard shortcut, or other.?
Otherwise, keyboard shortcuts can be created ('Options' menu). As well, the transport icons can be moved around and visible or hidden.desired location. (also in the 'Options' menu) There is also a play/pause, play/stop spacebar/F12 option in Options> Preferences> General".