Here's a couple pics on how I relocated the two fusible links that connect to the starter on my 84SE.
Heat had killed the original two fusible links and I had replaced them leaving them in the original location but better protected and then new ones still fried out in a couple years.
The first pic shows the adapter that replaces the bolt in the side terminal positive battery cable. It should be easy to find where ever stereo equipment is sold, I got mine at Radio Shack.
I cut the old fusible links off and spliced on two 5 foot long lengths of a similar size wire, I soldered the connections and sealed the joints with some heat shrink tubing.
I ran the new wires along the fire wall to the battery, trimmed to length and put two new fusible links on the ends, you can buy the new links with a loop terminal allready on the end.
I then hooked them up to the new battery terminal as seen in the second pic.
Since doing this I have had no heat related problems with these links, it may not look stock but it helps keep the car running.
84se-Stock, to answer the other part of your question about the broken wire comming off the positive battery cable,
I looked at mine and then checked my factory 84 service manual and it looks like the wire should go to fusible link "F" which runs to the alternator.
My wiring loom over the battery cable, which you can see in the second pic, has the link poking out of it.
If your car is still set up the same I would have to guess your battery isn't charging, if the battery is charging I don't know what to tell you.
Wrench on dudes, HoHo
[This message has been edited by fierohoho (edited 01-14-2004).]