Most troubles with Capacitors either open or short.
An ohmmeter (multi meter) is good enough. A shorted Capacitor will clearly show very low resistance. A open Capacitor will not show
any movement on ohmmeter.
A good capacitor will show low resistance initially, and resistance gradually increases. This shows that Capacitor is not bad. By
shorting the two ends of Capacitor (charged by ohmmeter) momentarily can give a weak spark. To know the value and other parameters, you
need better instruments