OK, now for some instruction - not that you need it but your soldering does!

You've got the ambition and you've done it once, now let's do it properly!
Here's what my father always said - heat the work not your solder! And the easiest way to do that is put your iron on one side of the piece touching the metal and touch the solder to the other side to melt it. You have a powerful gun there and the way to use that much power is not to touch it to the work and then pull the trigger. It's better to heat it up before touching it to the work then just barely put it on and then take it off. That way the heat needed to melt the solder is right there at the point of contact and not constantly being drained away into the rest of the work. That's why you burned the insulation. If you heat up the iron first, touch it and the solder to the work briefly at the same time and then get off just as the solder melts, the high temps won't ever get more than a 1/10" from the point of contact
Second, always tin your work. By "tinning" I mean to presolder the ends of the wires and use a paste flux for helping melt the solder into the wire. Do this by stripping the wire about 3/4". Then twist the ends to make a nice spiral, but not too tight. Now, push the end of the wire into the paste flux and pull it out clean. It shouldn't look like it has ANY paste on it but it does. Now, heat one side of the wire and briefly touch your solder to the other side. See the solder jump into the wire? That's due to the flux allowing the solder to flow and the heat already being there.
I like to use a small diameter flux core solder. I think I'm using .018" right now but it might be a little bigger. Smaller solder is easier to control and you can't get too much in one place. You can always add more if you need it.
Always clean your parts completely before soldering. If the molten solder beads up, the surface wasn't clean. The solder should puddle like blood if the surface is clean enough. Use fine steel wool or a little fine sandpaper to help.
Always keep the oxidation off of your iron's tip. I clean mine with steel wool to keep it clean. Then I tin the tip. If you put a drop of solder on the tip before you go in for a connection it will help transfer heat quicker. This is especially helpful when soldering to potentiometer cans.
A good solder joint should appear smooth and bright not lumpy and dull. However, I have used some solders where this isn't true. You should test with a meter, any work you do in these early stages to make sure you are getting good continuity.
Want to make a REALLY bulletproof cord? Use the metal ends and before you screw the cover on, slide it up close to the plug and fill it with silicone sealant and then screw it on. Wipe any excess off of the cable and let it cure. That will seal up the cable in the plug and keep moisture out and act as a helluva strain relief. If you need to repair it, it can be removed and cleaned out but you won't need to for years if then.
Hope this helps