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The coolant leak does not appear to affect your engine. If you are under warranty, this should be covered so long as the cause is is not road damage.
A temp sensor would not necessarily set a fault. They will only set a fault if the value reported is unplausible, so they can report an incorrect value, and as long as it is reasonable, it won't set a fault code.
Good luck with the battery reset. Be sure you have the keys out of the ignition, doors unlocked, windows down, trunk open so that you don't get locked out.
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