For 17-yo Globals they are in pretty good condition. I am very impressed at your ingenuity!
Some of mine have lost metal near the heel due to my poor use of a MinoSharp. I have just got a set of King stones in 220/1000/6000 and will be looking at remedial work on them soon.
Any thoughts on how badly I have mangled my GS-5 and GSF-15?
Hopefully you got a 400 mesh diamond plate to maintain the water stones?
If so, start working the heel of the GSF-5 back into a smooth curve, eliminating that "reverse belly".
If not, you COULD use the 220 waterstone, but you'll probably dish or groove it with that kind of a major repair. Maybe start with 160 or 200 wet/dry sandpaper on a piece of glass?
Or a WATER COOLED low speed grinder, if you have access?
Once the edge is reshaped to a nice, smooth, convex curve and the bevel along it is somewhat uniformed, proceed to the 1000 grit water stone, sharpen normally. Then strop, with or without compound, it will improve the edge a bit either way.
I wouldn't even bother with the 6,000, I tried a 5,000 on these knives and it made the edge smooth feeling, it sort of shaved hair a LITTLE better than what I just did with the soft Arkansas/paper & polish.
But the finer stone's edge worked less well on meat or tomatoes, GF said I had made them "duller", she meant the edge was less toothy/grabby.
That poor little GF-15!
If you don't mind spending a LOT of time and shortening it a good bit, you could do much the same to return the edge to properly convex or at least straight.
I personally would do the primary reshape of the pareing knife on a medium grit stationary belt sander, slowly in very small steps to avoid overheating.
I would dip it in water to cool as soon as any heating was detected. Once the edge was in correct profile and the bevel roughly re-established, same 1,000 grit and stropping as the larger knife.