My guess list:
First you need to get rid of the burnt cap to make sure no short circuit present, ceramics tend to fail in short. Maybe that is all you need.
Recheck the new solder joints, or even scrape off the green film from the copper tracks around the pins and extend the area of soldering. Oxidation cause bad solder joint sometimes.
Get 0.1uF X7R or MP0/C0G ceramic or film capacitor minimum 63V for replacement. (Somehow I think this is not the solution if the humm is present, because this small caps are there to filter out high frequency noises)
Check the bridge rectifier.
Another but low possibility is the capacitors around the two 18V regulators, if they are getting close to retirement the noise of the regulators filtered out poorly, and have an effect on all the OpAmps in the system.
The source of the humming is important, because if it coming from all the speakers your system have a problem with power supply probably, or if it coming from the Sub or other speaker(s) alone that will narrow down the choices.
(look like the question I have answered have been deleted meanwhile)