1) glRotate (get the delta's of your mouse pointer movement and apply them to glRotate)
2) same, but using glTranslate instead of glRotate
3) comparing the 2 is like comparing Swing with Java2D (shaky analogy
). You use JOGL (or LWJGL) if you want to do low level OpenGL, you use Java3D (or Xith3D or jME) if you want your rendering API to do more for you; Java3D is a full fledged scenegraph API which uses OpenGL under the hood (or DirectX). Which is better for you depends on what you want to do.
The Java3D tutorial from Sun is pretty good (google for it). As for JOGL, check out the OpenGL tutorials at http://nehe.gamedev.net
: They have both JOGL and LWJGL versions of the tutorials.