charging issues

If the battery voltage is still increasing, it indicates a less than fully charged battery.

You really should check charging voltages on alternators at 1500 engine rpm or so. Most alternators reach full output around 6,000 rpm shaft, and the curve from 2k to 6k is fairly steep.

Run the engine speed up for a few minutes, and check the battery voltage at the posts while the speed is still up.

.