-SE has no Always On Display
Correct
-SE has a smaller display?
Yes, the SE displays are ~1mm smaller in roughly the same side enclosure
-SE has no temperature sensor, but has most of the health features found in other Apple Watches
Correct, minus the temperature sensor, it does have most of the other health features (the other feature I suspect it will omit is the ECG, but that hasn't been confirmed one way or the other yet).
-SE has no fast charging?
Also unknown at this time, but I'd be surprised if the new SE doesn't get fast(er) charging