I think a good show would explain these things to the audience. Look at all the questions and assumptions that have been discussed in this thread alone. A good story line does not leave so much for the audience to guess about.
They could have easily explained the head if you could see skin flying off it as it came through, maybe when it hit the car hood, but all I saw was the metal skull. (Perhaps the gross factor, no wait, they didnt consider that when the doctor cut the newly skinned terminators eye slots?

)
It would be nice (and advantageous to the show) if there are writers of the show reading this thread.
Kinda looks to me like they are taking key hotspots from the films and just redoing them.
Cant wait for someone to tell the terminator that it smells like you have a dead cat in there. (Remember what arnie said to that.)