When we owned it and I did that (Mini K) gearbox up, I replaced all the bearings and some of the synchro baulk rings.
2nd gear synchro was never good even with a new ring, IMO whoever does the box up now should fit new detent springs to the 1-2 gear synchro hub.
Minisport's ones are stronger and work well, see
http://minisport.com.au/prod1437.htmI find some springs sourced from UK now are too weak.
[edit] Evan, you might also consider fitting a Cooper S/Clubman GT 1st motion shaft (18T) and 22G1040 cluster gear, to give Cooper S internal ratios.
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DrMini- 1970 wasaMatic 1360, Mk1S crank, 86.6HP (ATW) =~125 @ crank, 45 Dellorto (38 chokes), RE282 sprint cam, 1.5 rockers, 11.0:1 C/R.
