Ok - from that log it appears that you don't verify your burns, you can tick the little box in the program GUI to do that during a burn.
However, I think it's more likely that the episode might be in a different format to the TV system your dvd player is set up for. Can I assume that you didn't record the TV episode yourself ?
For instance if you live in the US your TV system is NTSC and most of your DVD players seem to only want to play NTSC format discs. Now if you obtained a TV episode from say England with our PAL system your standalone player will more than likely give you a message that it cannot play the disc whereas the PAL/NTSC thing does not affect your PC and therefore that will play it back ok.
Obviously the reverse can apply if you're living in England/Europe etc but it seems that our DVD players are less fussy about PAL/NTSC.