You dont need to worry so much about the small flat orange caps as they have a pretty much indefinite lifespan, but ALL the electrolytic capacitors should be replaced... surfacemounts, axials and radials. These  do have a finite lifespan, and most are well past the point where they can be expected to remain in spec and servicable. Age alone can cause them to degrade albeit slowly, and they are generally rated for a certain number of operational hours in a given temperature range... and the hotter they are during operation, the shorter the life. Eventually they will leak or blow, but even before they degrade to this point, they still can fall out of specification electrically after they surpass their rated life and cause operational faults.

As for that photo above, it appears that one or a number of the trio of surface mount caps have leaked and when the electroyte dries out it leaves a gummy residue that is conductive and is likely shorting pins on that pair of IC's adjacent them. If left, the goo can corrode components and even damage the PCB itself.