Can you play the burned disk on the computer? You'll need software that is capable of playing Blu ray video, like PowerDVD or Arcsoft TotalMedia Theater 3.
When you put the burned disk in the computer drive, can you open it and explore the contents from My Computer? Right click on the drive with the disk to see if this is possible.
If it is, you can try playing the main m2ts file on the burned disk with free players instead of the two commercial programs I mentioned earlier. Media Player Classic HomeCinema can play the main movie m2ts file, and VLC can do this also though I find playback in those programs a bit uneven.
Since ImgBurn indicated a successful burn and verified the data, I'm trying to determine if the disk is actually a good burn, and simply doesn't play on your stand alone player.