Ps4 – Does the PS4 support SimulView

Yes. The DualShock 4 controllers for PS4 have a jack socket to connect your headset to. When connected, you can choose which sounds are sent to the headset. The options are:

• just voice chat,
• all sound (game + voice chat).

Whichever sound gets sent to your headset is no longer being sent to your TV.

1. The Playstation 3 (PS3) move controllers work with Playstation 4 (PS4), the Playstation "Eye" (ps3) dont:

The latest set of tweets reveal that the PlayStation Move and Navigation controllers will work with the PS4, but the PlayStation Eye won’t.

2. PS 4 supports the Move Wands (Same source).
3. As the PS4 has PS3 Move full support, every game should work with ps3 wands because the games just use an interface of the PS4 to get the collected move data so they dont know if it's a PS3 or PS4 Move you're using.
4. I can't give you an answer to the last point because i dont like using Move for games so I've no experience here.

Additional information on the Playstation website.

And i found one more interesting post on this reddit:

The move camera is 640x480 at 60fps. In other words, it has what is effectively the same quality camera that is in the PS Vita (not a good camera at all), but in a much larger and more cumbersome package. The PS4 camera is two cameras at 1280x800 at 60fps.