Here's the Nokia 5130 Power ON and OFF key line spot for jumpering solution. This solution can help fix Nokia 5130 Xpressmusic that shows charging indication when the battery charger is plug-in but it does not turns ON when the power key is being pressed.
The Power ON/OFF key is isolated and not connected to other group of key connection for it only holds for switching or powering up the device. There is an open spots near the keypad filter IC that the power ON and OFF key can be connected when the power key fails or or if the line is cut or open.
The solution above shows the spots where you can apply a jumper wire when the power ON OFF key line path of Nokia 5130 is open or cut