An army with the Take and Hold Force Disposition facing one with Reconnaissance is dealt Purge and Secure as its primary mission.
The opposing army is not playing the same mission: it is dealt Reconnaissance Sweep. Reading only your own card is how a game gets lost from in front.
Take-and-Hold against Reconnaissance. End of turn pays once when a kill touched the objectives: either a friendly unit within range of an objective destroyed an enemy unit, or an enemy unit that started the turn within range of an objective was destroyed (one or the other, not both). From the second battle round, per-objective non-home control pays at the end of your Command phase, and freshly seized non-home objectives pay again at end of turn.
Primary scoring is capped at 15 victory points in a battle round and 45 across the game.