Well, you will have to forgive me, I am somewhat ignorant of these things. Not completely, but enough to give you problems helping me.
The heatsink would be the thing that goes below the fan, right?
If that is what the heatsink is, then yes, it is on correctly. Unless it is possible for you to put it on backwards (can you do that?). But as far as I can see, it is on correctly.
The fan is plugged in correctly.
Let me, at this time, also point out that my power supply is only 250 watts. Does this sound like it would be a problem. The symptoms would fit the bill of a lack of power.
My computer starts up, and after about 5 seconds, everything stops. It just shuts off.