You are going to make a fundamental mistake
... I have 40 years of experience in electronic project and repair and I can guarantee it for you.
Your oscilloscope has crashed suddenly and completely, it is not a "wear" of a capacitor that caused this.
If there is something wrong with a capactor, it is short circuited, not to low capacitance, nor too high ESR....
And a short circuit, you can spot easily with a multimeter.
Start by searching for the defective component.
To repair, touch the circuits as little as possible unless absolutely necessary.
By replacing a bunch of components that are not defective, you may create failures that did not exist like:
- damaging / interrupt tracks or metallizations.
- making connections and mounting errors
- cause bad contacts by stressing solders and connectors
- install capacitors that have been off for a long time and will require a very large inrush current, and this can damage the circuits
- Make polarity errors of the capacitors.
In short, you are gone to create full of unnecessary problems ...
Sometimes, you have really to recap some gears, not because capacitors are old, but because:
- they are bad quality capacitors.
- they are known as having a lot of failures (for exemple, some SMD electrolytics capacitors, some types of tantale capacitors, ...)
- they are working very hot and their livetime is reduced for this reason.
But only recap if it is absolutely necessary....Measure the capacitors you have replaced....if they are ok, it will proove you have made a great mistake.