Seeing as you've had the thing apart, and you took the fan off and broke off a fin it could be almost anything.
As the fan will not be spinning properly, despite it appearing so, it will be throwing more weight and want to rattle. So that could be nudging the
heatsink on the chip. Did you remove the heatsink as well? Did you reapply thermal paste to make sure it's got a solid contact?
Also heat can also be an issue for the board or parts connected to it. If you had been even slightly rough with it, and I know how finicky it can be
to open up laptops, then once the machine is warm, the board or some connector may develop a slight gap. This could simple shut the machine down. In
fact, that sounds like the problem from what you say.
If you don't have the memory checker under boot options while pressing F8, you can download a small linux iso cd image, burn it to cd or expand it to
a bootable usb stick if your laptop allows use boot devices, and it's specifically for checking memory. MemTest86 Web
, it's free or you can pay a small fee and have them ship you a cd.
The other thing I can only think of is that during the time the machine was overheating due to the broken fan, the chip suffered damage that makes it
fail at lower than dangerous temperatures. The hotter they run, the quicker they die. If it was running extremely hot for an extended time, it just
may be too far gone.
If you look under the laptop, there should be a plate screwed in, usually in older laptops that is where the ram is stored, and other parts, but I'm
going back a long way to the old dell inspiron and latitudes I had to work with years ago. It would be easy to see the levers on the side where it
clips in. All ram is keyed a specific way with a notch along the pin connectors that tells you the orientation the chip goes in. The only way you'd
damage it by putting it back in is if you had to bash it in the wrong way.. sort of a no brainer
Touching a metal plate wont really help to clear your body of static charge. You need to touch something grounded. we used to have static straps that
we wore on our wrists that had an alligator clip that we connected to the pc case.
I say that, none of us ever did, and I've never done so at home. I do make sure that I never touch the metal connectors on cards or chips, never had
a component die from that. But it's good practice, and certainly I'd be negligent to say don't worry about it.
I used to have an old motherboard that I had to wedge a peice of paper between the board and the metal case, to give it a curve. It would turn on, and
then once warm, fail. It was very old however, so I didn't really care, but giving it that curve kept the board running once warm. You can never find
these slight breaks in the circuitry, so if it's that, repairing it might be more costly than getting a new laptop.
You can keep the hdd from this one, install it in the new one, or purchase a cheap 2.5" usb caddy and have it as an external drive.
Another thing I just thought of. Does it shut down while you have the power supply connected? Or is it just battery? Have you checked the battery to
see if it's keeping charge?It might have a series of leds and soft buttons on the inside, that you can press to determine if the battery is good.