There is not much you can do here on the logic board thats cost effective. Other than replacing the PRAM battery.
Here's a picture: [https://d3nevzfk7ii3be.cloudfront.net/igi/fIIN4sXTwOip5ZcW|Logic board] and here's the steps you'll need to get to it: [guide|8886|Apple AirPort Extreme Model A1354 Logic Board Replacement] Apple never offered replacement parts for any of the AirPort Base Stations
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Given the age and its time of a new unit. Sorry ;-{
There is not much you can do here on the logic board thats cost effective. Other than replacing the PRAM battery.
Here's a picture: [https://d3nevzfk7ii3be.cloudfront.net/igi/fIIN4sXTwOip5ZcW|Logic board] and here's the steps you'll need to get to it: [guide|8886|Apple AirPort Extreme Model A1354 Logic Board Replacement] Apple never offered replacement parts for any of the AirPort Base Stations
Given the age and its time of a new unit. Sorry ;-{