Actually, it sounds like the Adepticon
40k mission structure (or at least the ones from last year). For those, the missions themselves told you how to deal with it:
Victory Conditions: The player who has successfully achieved more Primary Objectives at the end of the game earns a Crushing Victory. If neither player has secured victory through Primary Objectives, then the player who has successfully achieved more Secondary Objectives earns a Minor Victory and his opponent earns a Minor Defeat. If neither player has secured victory through Primary or Secondary Objectives, then the game ends in a Tactical Draw.
If I complete 1 Primary Objective, and you complete none, I have a Crushing Victory. If we both complete 1 Primary Objective, we look to the Secondary Objectives.
Basically, you need to ask the
TO for the actual event. Lots of tournaments have taken the idea of "multiple primary objectives" and gone in different directions with it.