Because you're a total novice, I'll give you the straight forward answer first:
If it ain't broke, don't fix it.
If you do have evidence the crossover is not working as designed, please tell us.
Much of the internet-based "wisdom" about replacing old capacitors comes from the fact that the large power supply capacitors of amplifiers have been known to fail after aging. But these capacitors perform a very different function than the much smaller filter capacitors in speaker crossovers.
So the often repeated but untrue advice of replacing the capacitors in old crossovers is hearsay and should be ignored, unless you have other good reasons that the capacitors have failed.
The large white box in your photo may be a capacitor, but I'm not familiar with it. It's label,
6.8 J 100 may mean 6.8 µF 100 volts, but I can't say that for certain. (µF stands for microFarad) Maybe someone else can confirm or correct that.
The other component that is definitely a capacitor is the gold colored cylinder labled
22 µF 23 VAC Bipolar ±5%. That is a small inexpensive non-polar electrolytic capacitor with a value of 22 µF and rated to AC voltage as high as 23 volts. Others may suggest that you replace that with a 22 µF capacitor with a higher VAC rating such as 100 or 250 volts, and made with metalized polypropylene. Although that would be a more robust and stable cap that can sustain higher voltages before thermal failure, it will be larger in size than the existing cap and is unlikely to fit on your crossover board. So I would leave it as is until you have clear evidence that it isn't working.
I don't know what the gray foam covered cylinder is.