1. Ovens are made to get hot, so I'm pretty sure it does that very easily.
2. That's probably the wierdest place I've heard about growing in my life.
3. I "concur" with GK.

If not a closet, try making the conditions in the shed better for growing and try to grow in there. My friend who grows always tells me that when it comes to MJ, it'll grow in almost any condition, but the more you baby it the happier it'll make you in the end.

Goodluck.