That's really not that hard to repair. The biggest challange is getting the logic board out. Sony is pretty stingy with publishing disassembly instructions, but with some time on Google you can probably find them. You'll need to source a power connector--eBay is a good place to start. It will probably cost you, with shipping, around $10.00.
You'll need a soldering iron (15 watt) with sharp tip, a static-free work area, solder sucker and solder wick, and some fine rosin-core solder. Remove logic board from computer, desolder broken power connector (don't burn solder pads), and solder in the new one. Reassemble and test. Easy!