Hi Al,
I’m not certain what you mean by buzzed loudly. A description of the buzz may give some clue what was wrong.
From what I see here, the white wire should go to the tip and the other wire to the ring on the new connector. If your first attempt broke then something seems forced or overheated. I think “tab” means solder lug in this case.
Some things I see now:
I cannot tell if the ring wire is the shield or another wire. If it is the shield, then it seems possible that you shorted the white wire during soldering due to too much heat and the insulation melting. This is just a guess.
I wrote a soldering tutorial you may want to read if you are not familiar with soldering.
If you plan to buy a replacement output jack, don’t go cheap. The extra couple dollars you’d save are probably not wort it. That jack is something you’ll need to take out and shop to get correct. Most of the jacks I have seen use the securing nut on the outside, not inside, and not captured by the wiring, so make sure to get something that will fit.