I was gonna say "push start it.." like I used to do a number of times with my 626 when the starter was giving problems.. then I noticed it's an auto tranny.
I'd put my money on ungreased/corroded planetary gearbox in the nose of the starter, and/or the starter solenoid. Another possibility is the brushes are worn out: whacking the starter would cause a good connection for a time so the motor can crank over.
If it's just a recondition job (clean it, change brushes, regrease planetary gearbox) should not cost more than 1000. Where are you located?
edit: my 626's starter failed
twice during a very short span of time. First after the September typhoon because I drove through flooded streets and it filled up with mud; and second a month later because one of the brushes was totally worn out.
What I learned is that, the starter is a very simple piece of machinery. On the 626 at least, it is attached to the engine by only
two bolts and is very easy to remove. I could actually recondition a (626/Kia Sportage) starter myself, now that I've seen it done twice.
You can probably get some shade-tree mechanic from the local talyer to remove your starter. Then hand-carry it to your favorite electrical shop and let them have at it. Here near our house there's an electrical shop which does a lot of A/C and cooling fan work. I had them fix my starter. They used
jeepney starter brushes because that's what they had: they just ground down the jeepney starter brushes on a bench grinder so they'd fit in the 626 starter. No problems so far..