Patrick, I would think if the engineers wanted several adjacent pins connected they would have done so on the circuit board.
If you have access to a voltmeter,
should measure ~5v pins 1 to 5 with charger plugged in.
If the charging LED continues constantly when moving the cable... it would appear you have fixed the USB connector issue. Battery might be more suspect than charging circuitry.
You could consult the user manual for LED blink patterns...
BTW, your english is indistinghable from native.