There are older threads on the AG-1980 cap issue, worth reading. They even include parts lists.
Mainly SDM electrolytics. They exist throughout the machine, but the more critical are found on the Y/C circuit board assembly. That is a good place to start, but you will likely encounter some on other boards as well. Another common issue is dim panel lights.
FWIW: DIY repair requires PC board repair skills and tools including dealing with SMD components.
The bad cap issue was wide spread and infected many motherboards and other gear from that era as well. Rumored to be the result of failed industrial espionage; someone stole the wrong formula for capacitor electrolyte.