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power solution request

dear:

7.4 V battery made wireless charging treasure, three scenarios requirements:

1. External charger to 7.4 V battery,;

2,7.4 V battery through a boost converter output(voltage is adjustable) for wireless charging module, when battery power supply, battery booster chip efficiency is as high as possible,

3, booster output is 12 V in expectation ,  high efficiency under different voltage,, such as 7.0 V, 7.4 V, 7.8 V and 8.4V, The output of wireless charge is up to 15W;

as above, could you kindly give me a suitable solution ? many thanks~