How can I use a keyboard shortcut to run two or more keyboard shortcuts
Write an AppleScript that launches your shortcut(s), then assign a shortcut to that AppleScript.

These two steps have been asked/answered on here previously.  See:


How can one invoke a keyboard shortcut from within an AppleScript?
How do I assign a keyboard shortcut to an AppleScript I wrote?


It's probably a better idea to write the AppleScript to do exactly what you want it to do rather than just execute shortcuts, but the option is there.