Electronic – Parameters needed to identify the correct capacitor

In a traditional power switching supply PCB like this one,

(source of the image)

ceramic capacitors are sometimes present as discrete components. They appear as:

(source of the image)

I would like to correctly identify them, when no schematics is available, to replace them if/when they get damaged. In the case of the above image, these parameters can be obtained:

• the capacitance 822, which, according to this answer, is: 82*10^2 pF = 8.2 nF;
• the tolerance Z, which, according to this table, is -20 %, +80%;
• the voltage rating 1KV, which is 1000 V.

(A letter can occasionally appear above these parameters, and I do not know its significance).

Is any ceramic capacitor, which has these same values, suitable to replace the above one, or other features must be taken into account when replacing such a component?

This question is related to a previous one.