Nokia 301 Display Light Solution Ways Jumper
Nokia 301 Lcd Light Track Full Path Backlight Solution
So first of all you should check if the Display Connector in Nokia 301 is busted and replace it. If that is not the case then you have to replace the Sim IC placed near the Sim Jacket.
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Try all paths tracks and components and parts that are given in diagram above if any path is missing aplly jumpers and if parts are damaged change them.