Steve, you should not use the shrink tubing on the field leads. It is way to stiff and forces all the flexing onto the weakest wire, the magnet wire the field is wound with. Lionel usually wraps the magnet wire around the stranded wire, solders it, and then slides a piece of flexible sleeving over the connection. When working on the e-unit first thing to do is slide the sleeve back and unsolder that connection to prevent breaking the magnet wire.
Now you need to use a strong light and your best reading glasses to locate the other end of the broken field wire. If it is the wire on the outside of the field coil, you can usually unwind one turn to get enough slack to make a solder connection. If the wire that broke is the end of the inside coil, the motor is probably toast. You could contact Bob Hannon and see if he can recover it.