Can i replace a broken dell studio 1537 LED screen with inverter to an older Backlight screen with inverter from a Studio 1535 or 1536?
Try to swap them and see if that works.
It looks like more then one screen is compatible for that model with different resolution. Contact a reputable seller of the LCD panels and ask them for advice.
To connect laptop to TV all you need is an s-video cable. You can get them at dollar stores. On most laptops, there is a plug that looks like where you would plug in a mouse on a desktop PC. On the TV you will find the same plug, its commonly used to connect DVD players. Some TVs will not have them though. In case you don't, then check if you are able to connect…
To turn up the brightness, go to: Settings > Brightness. Drag the bar to the place you want it to be. If you mean that the backlight is broken and won't work, then send it into Apple. You can't fix it by yourself. You can fix it using parts from here... http://fonefixer.webs.com/apps/webstore/products/show/1932975