Hello Dear,
I got the same issues with the noisy fan and i purchased a replacement fan from Ebay. I installed it myself after seeing some videos at youtube. I removed the back panel and the battery prior to removal of the fan.
My vaio pro 13 svp132a1cw was working very well with the noisy fan.. but when i tried to replace it with the repalcement fan it does turn power Led ON but no display... i tried to connect it through the HDMI port but still got no display... I dont know if the replacement fan did further damage... But the replacement fan is working very well..
The only problem is my vaio has no display now... What should i do?