I know that there is a current sense circuit in the feedback loop (IC2C monitors the voltage drop across R14, R14A, R14B), so the charge current will be limited by this. However, I haven't investigated what the exact value is yet. There is also an overcurrent circuit built into the battery pack's PCM circuit.
The current sense circuit is set to limit the supply's output current to about 3.75A, the PCM circuit kicks in if the charge current reaches about 5A and cuts-off the cell connection. This should never happen if the 8.4V supply is working properly. When the output current is below 3.75A, the voltage sense circuit keeps the supply's output at 8.4V.
While researching this answer I discovered that R13, R13A, R13B, R14, R14A, and R14B are mislabeled, they should be 0.1 ohm instead of 1 ohm. Because of this the notes next to R13A are also incorrect. It's a work in progress, so there are bound to be more errors. I'll post a corrected schematic after I do a little more debugging. In the mean time, any member that is interested, please let me know about any other detected errors, or about anything that doesn't make sense.