Front row is for the computer. You use the Apple remote to play music, movies, display pictures, etc. Only available on the last(?) version the iMac G5 and Intel Macs. (Except MacPros) If you have one of these Macs, hit the menu button on the Apple remote and.... Front Row!
As for the second question. Not too sure. Hopefully someone with more info will come along.
You will only have a TV shows section in the iPod if in iTunes you have TV Shows under the tab TV Shows.
Oh ... and something which baffled me at first - if you're importing mp4 files of TV shows into iTunes, then they may well appear under the "Movies" section of your library by default. If they do, click on the file in iTunes list view, Get Info and under the Video tab you need to change the classification from Movie to TV Show.
It may sound completely bleeding obvious, but it threw me for a little while!
Cheers
Jim