Nothing worth scrutinizing there. That might be part of the intro they're working on, it might have been made just for the teaser, don't know if the music is part of the theme or not.
I'd rather the title of the show have a subtitle to avoid confusion, but if they want to go with just Star Trek, fans will come up with a unique name for it anyway.
I will assume that's the basic logo for now, in which case it's fine. The font is reminiscent of the original series font, with those sharp cutaways to make it look fresh, and obviously going for the modern metallic look. Is the slice through the Starfleet emblem symbolic?