Just out of curiosity, what is a QAM tuner?

Assuming you have a Kindle Fire model that supports this function and the appropriate cable (typically a micro HDMI to HDMI cable, but check the documentation your Kindle Fire came with first) you should have no problem connecting it to one of the HDMI ports on the television.

Keep in mind on some tablets it does not mirror the screen 100%, but only works inside certain applications like the video player or something that displays media, again depending on the mobile device you are attempting to connect.

Some tablets phones use an MHL cable, please refer to the documentation for your device to see which cable you will need to connect to the HDMI input on the television.

No

Sorry but you will not be enjoying 5.1 through this little guy...2 channel only.

I don't believe that the DVD player on this model up-converts DVD's from their lower resolution (480) to an HD resolution (720p/1080i). DVD players that do this don't actually increase the quality of the image on the disc as opposed to Blu-ray, just re-encode it at the higher resolution so that you might see some improvement in the overall picture quality. When you use an alternate source like the antenna it will receive digital channels at 720 or if you connect a Blu-ray player it will also display at a higher resolution giving you that clear picture.

Now just as a suggestion you can adjust the aspect ratio using the remote so it will display non widescreen DVD's in a letterbox format (black bars) so that people don't appear stretched out, which might improve your picture a bit.

This model supports, CATV, Component and Composite Inputs, which are all typical outputs on a VCR, so yes.