Nor my area of expertise, but it sounds like it is overheating or you have a bad board with a short in the electrical system. I recommend having a TV repairman open up the TV and taking a look at it to find out for sure. Hope I helped!

You may not have the infamous Yellow Light of Death (YLOD), but these are telltale signs that something is up. New thermal pads will only help with the heat dissipation for longer periods of time, but it seems like you are having a freezing issue every 30 seconds. Moreover, it may be unresponsive sometimes. Here are some possibilities for why it's acting the way it is: 1. Bad Hard drive (buy a new one) 2. DVD drive is dirty or broken (clean or replace it) 3. Video card had overheated and/or solder balls are cracked (replace the board) A guide on how to take it apart is here: PlayStation 3 Slim Check if you can get it replaced from where you bought it first. It still might be under warranty.

Yes, you need a high speed memory card that can give you good frame rates. Check out the Sandisk Extreme Pro 64GB Class 10 / U3 which has a 55.81 MB/s write speed.

Yes, including photos always help paint a better picture of your problem. My understanding is that you will likely have to replace the entire logic board based on the damage. The fan kicks in only when the CPU is under load, so make sure that it is hot before you consider it damaged. Also, the connector in Mac Mini's are very fragile, so take care when handling and removing components. Hope I answered all your questions!

Physically this should work as both the WiFi and Cellular models have the same housing. This is not a good idea unless you are confident in working with iPads and know the exact model number that you want to replace it with. iPads of the same year and time period should work. If you decide to push through with this make sure that you carefully remove the cellular antenna connections since they most likely aren't supported (soldered) on your logic board.

One easy solution would be to get the Time Capsule to transfer everything in it's present state. Time Machine is basically the DeFacto when it comes to backing up your mac. You can get the cable I suggest in the link below to set up your internal drive before you replace it. Or you can buy a brand new Time Capsule. Find out more info here: http://www.apple.com/airport-time-capsule/ Another alternate good idea (since this is a dying drive) might be to convert the old drive to an external before you destroy it. To do this get this cable http://www.amazon.com/SANOXY-inch-Drive-Adapter-Cable/dp/B003Z2NIH2/ref=sr_1_4?s=pc&ie=U...-4&keywords=har+drive+case In order (1) Copy(drag) all of your files/apps to a folder like "My stuff" (2) Create a recovery OSX drive (3) Turn off your computer (4) Swap out your old hard drive (5) Turn on PC (6) Reinstall OS X (cleans up old files) (7) Plug your old drive back into the computer and copy all your old files over Hope this helps!