Ok, well. My first reaction is that those spells are just completely unworkable. Combat tends to be slow enough without having to record every action and result so that you can hit ctl+z on the round. And Battle Sense basically amounts to requiring the GM to choose now, during the player's turn, what action their NPC will take when their turn comes up. That is not ok for reasons that should be obvious.
And even if those things weren't unacceptable problems, level 1 and 0 for these spells is just comically low. To my mind, Intuition is more powerful than Time Stop so I can't even imagine what an appropriate level for it would be, and Battle Sense is substantially better than Command I, which is the most similar spell effect I can think of, so it should be at least level 3, and maybe 4.
Here's what I would suggest instead:
Level: 2 Foresight
Casting Time: 1 Half Action
Duration: 1 Round
Effect: After you have completed a single action during the spell's duration, you may decide to change your mind and perform a different action instead. All the effects of that action are undone (such as damaging an enemy, or triggering a trap) and you may take a different action, with the knowledge of what would otherwise have happened.
This way, only the player who cast the spell needs to track their actions, and the amount of time spent doing things that never happened is kept to a minimum. Higher level progressions could function for longer duration or affect more targets, but the single action redo limit should always be present.