Are gaming consoles allowed on the plane

Yes. Keep it safe so it does not break. For security check you WILL have to take it out.

Yes

I think you can take it with you.

Yes you can travel with your gaming console...my boys did. I would still secure (place it in a padded bookbag or tote) it even though you can take it on as your carry-on. It still goes through security check.

I would thing so since lap tops are but I cant say 100%

Perhaps...