If you don't have much soldering experience, then I would suggest taking that board to somebody who does. I would not try to learn soldering on a classic machine; for fear of messing it up.
If you want to start to learn to solder, I would go find some junk boards (i.e, e-waste) to practice on and watch a bunch of youtube videos on the subject. Oh, and get a good temperature controlled soldering station (even cheap ones from eBay are vastly better than the $10 hardware store special that doesn't even have a power switch). I suppose it's obvious, but watch out for fumes: work in a well ventilated area; and consider picking up a fume extractor (again, check eBay - even cheap ones are better than nothing).
Also, don't forget about ESD protection when handling the board (chips of that age were even more susceptible to ESD than they are now); and watch out for the CRT (high voltage remains on the anode for a while after powering it down; this is also present on the Analog Board... and the neck of the tube is fragile as well).