changing battery
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RE: changing battery
have charging sys checked. it may be overcharging the batt and frying it. it MAY be just a bad batt, i've had 1 or 2 right off the shelf. they work okay when they want to, just not all the time. if the warrenty is still good take that puppy back, change it out and see whats up.
the charging sys SHOULD run at about 13.5-14 volts right after starting. after a min or2 it should drop down to about 12.5-13v. when cranking the batt shouldn't drop below 10v(means its not holding a charge).
to me it sound like the pcm/ignition needs more power. if batt is ok look for bad wires. good luck.