I see that differently. New problem no work up and RX management hit the level 4 MDM.Not here. 99213 vs. 99214: Three tips for spotting the difference
A single acute (probably self-limited) problem with no lab review, imaging, or follow up just doesn't pass the smell test for 99214, regardless of prescription drug management, IMO.
If I'm prescribing antibiotics I clearly don't think it's self limited.