The caps are through-hole components. Their solder joints are visible in the images of the bottom of the board.
If you don't have a desoldering pump, then heat one lead at a time from the solder side, and pull gently from the component side. It may shift only a little, at each attempt. Alter the leads and repeat at each attempt, as the leads gradually withdraw. Add solder to maintain ease of heat transfer to the heated lead.
These caps are not tolerant to overtemperature or physical mishandling. They were manufactured to a 2% tolerance of capacitance and should measure no more than 3% tolerance at end of service life.
Please complete the troubleshooting steps resulting from visual inspection.
You still haven't identified the types of diode used to replace the original BY200-1000 parts previously, identified in visual inspection.
RL