I'd reflow all of that soldering, it looks a bit.... iffy at best.
The passive tone stack on fender style basses isn't in series with the signal, so if the tone control is faulty then it won't alter the output.
Could I also add that I’d like the vinyl pressing of ‘Californication’ to be remastered so that it’s a bit quieter - I have to add an extra half gram to my stylus whenever I listen to it to stop it jumping!