The JB Weld should probably be covered with a few layers of liquid tape as I’ve found everal epoxies on the market are made with iron powder and are magnetic and possibly conductive. The small terminals were sold individually at one time so soldering them on was the accepted method. The small wire you found was probably a thin braided cable about an inch or two long which is fastened to the secondary winding at its other end. If this connection breaks, then you’re in trouble.
Here’s a secondary winding wire and it measures about .002″, which is thinner than a human hair.
