The shot of the ship crashing into the water at the end of the first trailer is clearly not the Enterprise. You can't tell much about the saucer or the secondary hull but the pylons and nacelles are nothing like the new 1701. It could be a ship that Harrison has stolen, it could be another starfleet ship (Pike's?) that's a casualty of a multi-ship battle, or...
Take a look at this:
Pylons and nacelles that don't seem to be like the new 1701! Could just be bad draftsmanship, but maybe the severe damage we're seeing in this new trailer happens earlier in the movie after all. Maybe we get a refit halfway through the movie. Time will tell.