What is the maximum charge current and discharge current of R5460 Series IC?
Max current supported by the IC is 4.0µA.

Supply current (At normal mode) Typ. 4.0µA
Standby current Typ. 1.2µA (A/ D/ E version)


Those parameters
excess discharge current threshold is 0.2 V 
excess charge current threshold is -0.2 V. 

are used for triggering the transistor switches connected to the IC. Usually, they are partnered with the time parameters.
Over-charge detector Output Delay 1.0s
Over-discharge detector Output Delay 128ms

If the load takes more than 0.2V at 128ms or the charger gives 0.2V at 1.0s you need a higher sensitive IC protector.