Yes, bring chains just in case, however, they are no longer needed for the day. Please see here for road conditions http://www.mthigh.com/site/trails-and-conditions/conditions/road-conditions1.html
Yes, unless you have a 4x4 with the proper tires.
Tomorrow, is going to be snowy during the day. Bring chains, just in case.
You should always have them on you when going up the mountain.
Thanks! Your answer is awaiting moderation.