No dock station, just AC adapter and RCA jacks. No pause icon and player never resumes playing song counter stops too. You can skip to next or previous song but the player just stays "paused". If you hit the top button on the player the pause ico does show then, but hitting the button again does not resume playing.

As far as car glitches, the counter keeps going and the music resumes where the counter is not where it left off.

This player gets the majority of home and in-car use, so I couldn't say wheter or not the other players are having problems too. I have 3 players in sync and at least one of them has a fir amount of use. Maybe I'll start using that one more and see if I run into the same things with it. If not, I could have a HD going bad or something.