I will try harder than for a student, it does not mean better
ad1. With an ohmmeter you will check only if the capacitor has a typical short circuit on the covers, if it has a short circuit it is known to be damaged, but if it does not have it it can still be damaged, i.e. the measurement is very little worth. The ohmmeter also charges the capacitor so it can be charged from the ohmmeter. It can have a large leakage, so after charging it will quickly lose voltage on the electrodes, it may have a lower capacity - because the electrolytes dry out, etc.
Generally, the colleague above wrote what the capacitor is measuring. Before every measurement and connection to the meter, the capacitor should be discharged.
Additionally:
https://www.elektroda.pl/rtvforum/topic2413951.html ad.2 As above, but if it was a small capacity capacitor, you will notice that the voltage will slowly drop because the meter itself will be discharged, and how fast it depends on what meter, digital very slowly and unnoticed, old analog one minute faster, everything depends from the resistance of the meter and the capacity of the capacitor. It may be very difficult to notice this drop in a reasonable time.
ad.3 I will not add anything

Oh, you can say that from the manufacturer, because:
https://www.elektroda.pl/rtvforum/topic3338062.html#16458404