Age old question...Bad Battery or Bad Alternator???

This is where we are at now...
1, bench tested alternator diodes and it tested bad
2. had the store bench test it, also read bad
3. bought reman. alt. (bench tested good) and my readings are as follows:
14.90v idle no load
15.15v idle w/ load
15.35v @ 2000 rpms no load
14.94v @ 2000 rpms w/ load

I've been told between 13.5 - 15v is the range...My portable cigarette lighter tester still says I'm overcharging when cruising but if 15v is the max for a good reading...is my $10.00 tester so sensitive it will give me an overcharging reading for .35v ?
Also, I discovered I have 2.20v draw from the voltage regulator testing it with the ignition turn on but engine off.
Where my at now fellas? I think I'm good except for the volt. reg. draw which I think is a different issue but I'll let you guys decide. My knowledge in electrical repair is very novice but I am gaining knowledge from you guys with the hands on approach which is the best way!