I've got a Philips PCS130.

  1. Yes
  2. Both. See attached diagram from the manual.
  3. Both the head and the lens stage rotate freely, although they both "click" into place in the conventional non-tilted position. Knobs tighten them into position at any angle so the rig doesn't get accidentally knocked out of alignment.

I've never actually used this feature of my enlarger, so I don't know how well it works in practice.