*googles*
Socket looks like this?
https://www.ebay.co.uk/itm/174196583513De-soldering the old one's going to be a right bastard of a job, as presumably the prongs on the shell go through the board and are soldered on the far side, and you'd need to be a trained octopus with multiple irons/hot air guns to melt all the joints at once. What you're trying to avoid is lifting the tracks on the connector pins
[1] (which will be fairly delicate, on account of smallness) as you apply the requisite amount of heat and wiggling to de-solder the prongs in what are undoubtedly going to be plated through-holes.
The approach I'd take would be to attack the connector with edge cutters to sever the prongs, then melt the SMD connections (either using hot air, or an iron and a blob of (preferably lead-based) solder) to remove the bulk of the connector without damaging the PCB tracks. Then remove the remains of the prongs individually, which is going to be annoying, but less risk of damaging something important, and clean up using solder braid.
If you can manage that, installing the new connector should be straightforward: Standard through-hole soldering for the prongs to secure it in place, then your SMD technique of choice for the pins. (I'd favour drag soldering with a small beveled tip, but solder-blob-and-mop-it-up-with-braid is probably easier for beginners. Alternatively, solder paste and reflow with hot air.) Go and watch some YouTube tutorial videos about SMD soldering, and find a board from an old computer or something that has components with a similar pin pitch to practice on.
Multiply the difficulty level by lots if there's bulky or delicate stuff close to the connector that prevents you getting in there with hot melty tools; I don't know what the innards of an Edge 520 look like.
[1] This may already have happened, and be the cause of the fault. In which case you're into bodge-wire territory.