I have same problem in my 2004 quest van. The box in transmission has a recall. What it does is if one tire is on ice and the other tire is on dry ground it locks everything out(engine,trans.), can only coast. When I start to drive van it will be locked out. You need to put it in park shut it off wait 2 seconds then restart it. It will be fine.

The shaft needs some oil. its just dry. I came across this alot and oil it once a month and you can get 10 more yrs. out of it. do not put too much just enough to get it spinning again.