This might sound like a bit of a petty whine, but... I don't like how the trailer starts with Superman having had the crap kicked out of him and having to be rescued by Krypto. I feel like this is not the tone I want my first impression of this Superman to be. Superman is supposed to embody strength, hope, and determination against overwhelming odds. Our first glimpse of him being him lying bloodied and helpless in the snow feels off, somehow.
This is not to say Superman can't have the crap kicked out of him. Pretty much all Superman movies (and many Superman stories in the comics) have involved Superman getting the crap kicked out of him. But he gets back up.
If I could make an MCU analogy, think of Cap standing alone against Thanos's army right before the portals open. Again, bloodied, beaten... but on his feet and ready to do the right thing. That's the kind of tone I would hope to see from Superman.
Otherwise the trailer looks fine and I'm almost certainly going to go see this movie.