My engine won't start though I have replaced its starter?

My engine won't start though I have replaced its starter on my acura TL 2002. My battery is good after being tested at Advance Auto (12.6 voltage). Fuses are good. Neutral safety switch is good. Alternator is good and still charging to its battery while running (14 plus voltage). Checked Voltage from starter is good (12.6). Checked voltage draw from starter = good (11.7 voltage). No corrosion on battery poles. The only place I have not check is the ignition switch. My car runs fine while I give it a jump to its STARTER but if I give it a jump on its battery I won't start but CLICK.
Do you have any suggestion what I should do? Thanks so much in advance.