no green light, turns on with battery only

pls need help 820-2567 board, turns on with battery only, no green light ,

if i turn on the board with battery connect charger then take out battery still runs with only charger, also it charge too,

but it does not turns only only with charger and no green light !!! u6900 pin4=3.42v, u6901 pic 1, 2 both =3.42, u7000 both 10k reg is good too, is the isl 6258? pls advice