Laptop VGA connection Loose contact - repair yourself?

Namely, I finished an old Lenovo T61 Lappi from 2012 half a year ago. Does Windows upgrade from Vista to 10, new keyboard etc…

Recently, however, the fallen down, so that the monitor is broken, namely jumped.

Keen problem, external monitor connected via VGA is running. Now, however, the connection for VGA Lappi on the loose and therefore has no reception.

Question: Is it possible to fix it again or maybe exchange it, as there are still very important data on the Lappi? Monitor you get for this currently no more, external Graka nothing can be installed and the USB ports are andesweitig occupied or ko, mplett defective. Video connection is only VGA voerhanden, it would be important to at least get picture, so I can save the Dsaten from the plate.

If the one has a loose connection, a solder joint is probably defective. Can you solder, possibly even SMD soldering with an extremely fine soldering tip?

Build the hard drive but just out of the laptop and then get you a suitable active interface adapter with its own power supply to USB, so you can read the HDD on another laptop / PC yet.

No, unfortunately not. I would have to do that.

Is it possible to re-solder most of the time? But what do you do with a Leister. (Hot air)