Also check all your connections. A bad ground can also do what you describe as well as a heat soaked starter.
It also sounds like your PS pump has seen better days, but I doubt if its the cause of your starting problems. Try pulling the belt off to see if it makes a difference starting when its warm.
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Good luck!
Brad R.
1992 L.X. 5.0 coupe
MODS: A few little bolt ons 
New Best time ...11.60 @ 128 mph @ 2000+ ft altitude.
Rice Haters Club member #39
Users rides #2542
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