It's incredibly east if you can solder. You need to open the TV. I personally can take a jolt from a television or monitor, but it can kill you under the right conditions. Please leave the TV unplugged for at least a few days before working on it. This is an older model, and may not discharge itself.
You need to lay the TV on it's screen on a towel so you don't scratch the screen. Remove the screws around the casing. Some are set very deep, and will require a long screwdriver.
Once you have the cover loose, lift it off, being careful not to touch anything inside, and feed the power cord through it's hole as you lift the rear cover off.
The co-ax connection should be cased in a small tin box. You should be able to pry the cover off with a straight blade screwdriver. If it is structurally soldered, you will have to remove the solder holding it on. This is not all that common.
Once you have that cover off, you need to either reconnect your old co-ax jack to the board with solder, or if this doesn't seem possible (I don't know the extent of the damage.) you can Cut off a co-ax cable and solder it to the contacts, giving you a flexible pig-tail instead of a firmly mounted connector.
The shorter answer is that this is a 10 year old TV, and you might be better off buying one for $50 off Craigslist instead. It all depends on your ability. It would take me 10 minutes to fix.
While you are in there, You should notise a large black transformer near the back of the board with a heavy red wire comming out of it. That is the dangerous thing, and also where your screen power and focus adjustments are located.
If your screen isn't what it used to be, and you are brave. You can adjust these, but you must have the TV on, and you must use a plastic tool. This is the voltage that can send you stumbling backward across the room peeing your pants and possibly cause a heart attack, so make sure it's worth it to you.
Derek, January 2008