It perfectly rounds down to the nearest satoshi value on every halving.
So, for example, in approximately 31 years when the the block subsidy gets cut in half from 9,765,625 satoshis, the new value will be 4,882,812 satoshis (instead of 4,882,812.5 satoshis).
Correct.
It is possible for it to have less (and it will have less due to a mining bug early on as well as bitcoins sent using nonredeemable scripts), but it is not possible for it to have more.
Correct. However, there is no guarantee that those are actually burnt or actually lost. People who claim that they lost their bitcoins could be lying, and creators of burn addresses could by lying about not knowing the private key.
Which is why I said "impossible for anybody to ever transfer more". It will always be possible to transfer less, but regardless of any amount lost or found, it will never be possible to transfer more.