These are common expert shortcuts in many apps, so experienced users are likely to discover them on their own. However, they should still be considered expert shortcuts, so you should have explicit controls for each of these actions as well (e.g., a zoom slider or dropdown, and scrollbars on margins).
Given you need these controls anyway, static or transitory text at these controls could be used to educate non-expert users on the shortcuts. This is similar to showing the icons and accelerator keys in menu item captions. For example, after zooming in with a slider, a notification could temporarily appear next to the slider saying something like “Double-clicking drawing also zooms in.” Because panning and zoom are often repeated, such text provides hints to the user at the time and place they need it. To reduce clutter, distraction, and possible annoyance, you may need to allow the user to suppress such notifications, or maybe they disappear on their own after a few presentations.