This is a weird one, its as if the onboard video has been disabled somehow.
If you are getting into Windows albeit with a black screen you should be able to get into the BIOS, the BIOS chip has its own drivers on it, have you tried tapping the Del or F2 immediately after powering on.
Have you tried tapping the F8 key when powering up the notebook, this would load windows own generic video drivers and the suggestion to see if the problem is bad video drivers.
You mention that you tried hooking up to an external display, pressed down the Fn and F5 keys both at the same time, still got no display on the external screen, if yes.
What is the model name or number of the Viewsonic external screen, is it known to be 100% working and the same for the video cable.
Because you are 100% definitely getting the Windows sign in chime it suggests that your internal hardware is good.
Let us know the external display and other details and we will go from there for now.
I have a VIEWSONIC 22 inch High Def monitor, model number VX2270SMH-LED
and yes, the monitor works perfectly... as a matter of fact, it is the monitor I am looking at right now that is attached to my desktop computer.
I had a neighbor come over with his laptop (ASUS) and connected my monitor to his laptop and it performed just fine, so it is not a monitor problem that could be suspect.
I tried as you suggested going into BIOS by tapping the DEL or F2 keys, but neither did anything. I can not say that it is not working, I can only speak from the stand point of it did not cause the monitor to respond, so that I would be able to see the BIOS option.
With this VIEWSONIC monitor if a signal is NOT being received from the VGA port it will continuously display an ORANGE light indicator. As soon as a signal is emitted out of the VGA port, the light turns a deep BLUE. My indicator light remains orange the entire time I have it attached to the laptop regardless of what I do. As soon as I switch it to the desktop the light returned back blue and it lit up with no problem.
I tried the FN and F5 keys both pressed at the same time and like I said above, it may work, but I can not see anything on the monitor to say YES or NO.
I pressed the F2 button with no end result and then restarted the computer and pressed the F8 button and neither caused the screen on either the laptop or monitor to respond.
In desperation I used the FN and light display button (located on keyboard), thinking (in a wild way), that maybe they played a part somehow in disabling the on board video (as you suggested), but that did not produce any results.
In my opinion it seems that somehow the power to the VGA/DISPLAY panel has been interrupted. Can those beeps be telling me that a circuit or something has burnt out and power is no longer getting to that VGA port or screen?
If that is the case is something other that a motherboard replacement an option?
I really do not want to sink any more money into that laptop by having to buy a new motherboard, simply because of its age and high susceptibility at this point of further problems.
But I appreciate any further suggestions you may have, should it not be some failure of the motherboard...