88 Celica AllTrac problems

I recently purchased a used 88 Celica Alltrac at 65k miles.  I am looking
for other individuals who have experienced the same problems as I have.
This is the standard GTS manual shift.

1. After driving for extended time, car will not restart until complete cooling off.
   (Only the relay under the kick-panel clicks – nothing out of the hood!)
   I have had the starter replaced twice – not the problem.

2. After the transmission is warm, shifting into 2nd gear is very grindy.
   I have experienced the same thing on two other 87 Celicas with manual transmissions
   A design flaw?

3. On hard (turbo :-p ) acceleration a loud vibration eminates from the left floorboard,
   especially over not-so-flat terrain.  The noise subsides only when power is
   lowered.  Is this a transaxle thing?

4. Brakes are soft sometimes (almost hit somebody!) and ABS will not activate because
   it feels at half strength.  Dealer says pads/discs are at near new condition.

5. I have also a set of 215-60-HR-14 Bridgestone RE71 all around.  Has anybody
   experienced bottoming out on these tires (wheel well interference?)

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