Should I use a GoPro Hero 3 Black for recording drama? My school's drama department is looking for a camera to record our plays/musicals. 

I have looked and looked for a good camera that 


Records in 1080p at 30fps
Has a mic-in port so we can connect our sound board to it to record directly onto the video from the tech booth.


I think the GoPro might work. It records at 1080p 60, 48, 30, or 24 fps, and has a mic-in. Would this work? 

The tech booth is elevated and is in the back of the auditorium. I wouldn't need to zoom as I can crop it and scale it in post (which I think we will export at 720p) and I don't want it to look fish-eyed or distorted. Would the Narrow option work? 

What I really want answered is, Should I use the GoPro Hero 3 Black or is there a better camera to use ($400 or less)?
The GoPro is really more designed as a small, rugged, action camera.  It really isn't designed for recording a theater production and you would be able to get much better quality out of any number of camcorders in that price range.  You really want something with an optical zoom on it.

Either something like a Canon T3i or T2i would probably handle what you need.  Alternately, Panasonic makes some pretty good video cameras in that price range.

It is also worth noting that the GoPro has no screen so you would need to buy a separate screen to know what it is that you are actually shooting so that you could aim it.  There is one available from GoPro, but it adds around $80 to the cost.