Patches of missing finish on oak tables -- how to repair and match color?

I apologize in advance: A similar question has probably been asked on this list, but I have not been able to find a good search query for it.
1. I have an old pedestal oak table, and I guess the finish is lacquer, shellac or veneer. There are two spots about a half inch in diameter where the finish is completely gone, down to wood. About 15 years ago when I was away food dropped onto the table and was not cleaned up. When I returned one or two weeks later, the finish had been eaten away. Does that give information as to what the finish is?
The finish is a yellow/gold color. By now I suppose I have to sand to get to clean wood.
How can I repair the finish in just these two spots, matching the color?
Also, two leaves are being made for it. How to finish them, trying to match the finish on the table?
2. I have an oak veneer coffee table, finish looks like on the other table. There is a patch about a square inch where the finish has been scratched off (looks as though it was done with a paint scraper) but the scrape didn't go past the veneer. How can I repair just this patch, matching the color?
Also, this table has several small drips of paint, various colors. Latex, I think. Any thought about removing them?
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1.Spill a bit of vodka on it and see if the finish dissolves. If so, it's shellac and will be fairly easy to fix.
2. Take the spots of paint off with a cabinet scraper or razor blade.
djb
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