I have a bunch of these I got from someone who bought out some old stock from the Schrade factory when they closed. I got some blades and assorted parts, and he also sold me some of these excellent lockbacks in various states of disrepair. Schrade made many styles of these lockbacks, using different springs, locking bars, liners, blades, etc. I am pretty sure I have seen them all at this point.
The spring you are looking for is called a fly spring. There are multiple styles. The double fly spring is only used on models with lanyard holes, which yours is not. Most likely, yours uses the straight spring, which is 1.810 inches long (just under 2 inches long) and 0.10 inches in diameter. Some of them are slightly flattened, and some are perfectly round. I have some that are slightly bent at the end as well, but as long as the length is correct, they are all essentially interchangeable. Take a look at these photos:
I found some spring stock at my local "real" hardware store, and you can find some online. I cut a piece to 2 inches and carefully cut back to the correct length so it fits (there is a recess in the spacer at the butt of the knife).
As others have said, you have to first remove the blade using a punch. I have noticed that the pin is slightly narrower on the pile side of the knife. If you drive it from that side, it will come out fairly easily with a few solid taps using a good punch and hammer. If you try doing it from the mark side, you will have a hard time. If you are careful you can reuse the pin, as they are normally made out of steel on this model. Be aware that the blade sometimes has a washer in the pivot hole. If yours does, do not lose that washer. If you must replace the pin, the diameter is 0.125 inches in diameter. Once you get the blade out use some fine sandpaper to clean up the insides really well, which can have lots of gunk built up. Once you have everything back together you will want to peen the pin a bit on the pile side, and then use some sandpaper to make everything smooth and flush, and work your way to super fine sandpaper, then some polishing compound to make it nice and shiny (if you wish). I have had some fun modding and refinishing these old classics. Here are a couple I modded. The one on the top I replaced some cracked scales with Padauk wood, and the one on the bottom I redid in Olive wood (from my own olive trees).
Have fun with it. These old classics are made to last forever, and can be repaired.