:s going by the thread, i see that you lack experience in working with electronic components....
the first thing you should have done to "fix" the loosening of the green pcb is to take a small wattage needle pointed soldering iron and touch the point where the green pcb was mounted. that would have reflowed the solder and eliminated any cracks..
you have to be pretty clumsy while fitting it all back to not notice that the fan was too big and was hitting the pcb. nothig much can be done at this point, hope it works without that component.
i just read that you failed at soldering it and that you melted the component itself,.... so its impossible to even know what the component was....
if you knew what it was, its possible to fix it back with some delicate insulated copper wire and very intrinsic soldering. but that would require someone with a lot of practice and steady hands.
this doesnt pertain anyway to the topic, but i dont like those temp adjustable expensive ones. those are really for the uber elite class of people who solder day and night. the prob is they are high wattage usually and will maintain the tip at specified temp as constantly as possible. no problems when soldering continously/heavy stuff, but when it comes to delicate stuff like small LEDs, SMD components, thermally sensitive components etc, they are bad. For that type of applications a good 10 -15W iron does the job good for amateurs as it can only transfer a "fixed" amount of heat to the component before cooling down itself
hence preventing melt down of delicates (pun intended)