Hondas and Acuras have a history of bad motor mounts, particularly as the miles add up, so I would suggest that you have your motor mounts (and transmission mounts) checked a.s.a.p.
As to the fast idle that goes back to normal after a few miles, this could simply be a function of lower temperatures in the A.M., as the seasons change. Fast idle in colder temperatures can easily go to around 1,500 RPM for a few minutes.