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2.5A isn't that unreasonable - i routinely drag 5-8A out of one of my sets and they don't seem to mind. Just make sure if you want that kind of current, buy the right batteries - mine are (apparently) fine up to 10A, but i'm not going to test that.

maH are milli-amp-hours - charge on the battery, not current. The correct (SI) units are coulombs. But now i'm just being pedantic :P However, you do sum the charge when the batteries are in series. You also sum the maximum rated current (or thereabouts, there are extra inneficiencies).

I have had batteries get hot in general use, but generally that's high current applications (specifically, RC cars). However, all batteries have a rated maximum output, as you approach that they will get hot. Check the rating for your batteries. matt: a good place to buy batteries is...