Toshiba L505D-S5983 when i open my laptop i heard noise and does not booth or it hangs when i open

Try the latest audio driver...then do an audio diagnostic by going to run then type dxdiag. Hope this helps

The GPU in every laptop is soldered in place, if you have a lot of experience with reflowing then you can try to pull the GPU and replace it but a lot of the time it's actually more cost effective to get a replacement MB and sell the one that's having issues. Because the GPU may not be the only part that has gone out or it maybe another part that has gone out and is keeping the GPU from powering or outputting signals

External monitor confirmation means that you're not getting anything out. If there truly are not words coming up, telling you what's up, then you're probably looking at a bad logic board. It could be bad video, but if nothing, not even a fan, is spinning up, then you're not getting power across the system. Check all your power connections and inputs, but I'm leaning towards a bad system board.

you need to use something to pry them up, do so slowly and easily.

In order to connect your laptop to your tv's display you will need a VGA to component or composite cable. The VGA part is connected to your laptop on the left side next to the network jack and then the composite or component part to the corresponding inputs on your tv. Here's a site that sells them just to give you an idea of what you will need. http://www.monoprice.com/products/product.asp?c_id=102&cp_id=10235&cs_id=1023503&p_id=2170&seq=1&format=2
You should be able to find a similar cable at your local electronics store.

There's not much that can be done except return the adapter for replacement. But first, are you sure your car's cigarette lighter works ?

Try a different mouse, that would prove where the problem lies. Looks to me like the mouse is failing.