But there is one thing that's been bugging me, everyone keeps calling this a reboot. But I was under the impression that it was a completely new series based off of the comics, not the old show.
"Reboot" is not a term that has a strict, formal definition. It's slang usage to begin with -- multiple layers of slang, in fact (the TV/movie usage is slang derived from the computer usage, which in turn is derived from the idiom "pull yourself up by your bootstraps"). It's used for anything that's starting over with a new continuity of its own rather than directly continuing a pre-existing series. It would be just as (in)valid to call it a "remake," as people often do with new movie adaptations of books or stories.
"Rebooting" is a concept I have always rejected. When Ian McKellan plays Lear, it is not a "reboot" of the play just because Olivier and, oh, just a few other people have played it in different productions.
This is why I did not object to a new conception of Star Trek.
The execution, on the other hand....