BQ21040: Please recommend lithium battery charger replace PS-7516

Dears

Please recommend lithium battery charge management chip:
Charging current requires 500mA-1000mA
Single node pool
The discharge voltage hopes to be stable at 5V
Charging voltage is not required
There are always problems with the charging of other brands of PS-7516, and the product error rate is 20%
The schematic diagram is as follows:

The parameters of PS-7516 are as follows:

Thanks

Elsa Duan