So what happens on the days when it won't start? Need details to solve a
problem like this.

And check here:
http://www.tegger.com/hondafaq/startproblems.html

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Does it ever run fine until you go into 7 Eleven, then it won't start
again? Cooling the interior will make it restart in that situation, or
just turn the key to position II and smack the dash with your fist . . .
You'll hear the fuel pump run for two seconds and the car will start.

Do a google.com search for honda main relay resolder. You need to remove
and resolder the relay, or replace it.

There's more at tegger.com too.
'Curly'

If it is cranking badly and always starts when you jump start it, the only
difference is that you are adding energy to the battery. It sounds like your
alternator is failing, and the vehicle year suggests the brushes are
probably worn out. See http://home.earthlink.net/~honda.lioness/id13.html 
for a good treatment of that issue. You might get by with a *relatively*
cheap and easy fix.

Check out http://tegger.com/hondafaq/flatbattery.html  and
http://tegger.com/hondafaq/altcharge.html to get a better understanding and
to avoid doing more serious damage to the alternator.

Mike