This is how I would do this if I were doing this. I would take the clip you want to insert into the new tv and put it into a pre-comp and then stabilize the image. If the image is shaking in your final effect, it’s not going to look right. If there isn’t much movement, either of AE’s stabilizers should work.
Once the image is stabilized, look below your comp window and locate the Region of Interest button(it’s to the right of the resolution pull down), press that and crop to just around your TV image Go to the menu bar Composition > “Crop Comp to Region of Interest”. Your composition will now be the size of the TV Video you want to insert.
Drop this comp into your final comp and apply the effect Distort > Corner Pin and fit the image into your tv. Now apply the tracking data to your corner pinned layer and it should look like it’s part of the image.
Finally you might want to add some glow to the video image, or duplicate the layer and play with transfer modes, to give it more of a tv that’s emitting light type of look. Here’s a quick project I made using your pictures with the effects and stacking order. 5018_stackingorderfolder.zip
If this is something you may have to do in the future, you will want to learn how to use Mocha. It’s a free tracking software that comes with AE(they have 100’s of tutorials on there site and 100’s more have been done by other people). After Effects Tutorial – Corner pinning with Mocha for CS5
Johnny Cuevas, Editor
Thinkck.com
“I have not failed 700 times. I have succeeded in proving that those 700 ways will not work. When I have eliminated the ways that will not work, I will find the way that will work.”
—THOMAS EDISON on inventing the light bulb.