Good find on that evaporator - just the cleaning alone will improve it's performance.
If you mean flushing the interior of the condenser, if it's a parallel-flow (modern) design, it can only be flushed with specialized equipment that can generate the high volume and pressure required to get it clean. DO NOT use simple green inside it. The R-12 tube and fin condensers can easily be flushed. There are a few serpentine variations that are a bit more difficult to get clean without the equipment. Just FYI, whenever the term "flush" is used, it's understood to mean inside the hoses, condenser, and evaporator.
Exterior is fine, to get grease and bugs off. Since it's aluminum, Simple Green is about as harsh a cleaner as I'd want to go. Zep Purple Degreaser (for example) will etch the aluminum if left on any length of time - stuff is super alkaline.
With compressors, I flush them with the oil I plan to use in the system. I dump it in, rotate the compressor 10x in each direction, then dump. I do this until the oil comes out completely spotless on a white paper towel.
If the system was operated low on charge for a length of time, you'll find a majority of the oil in the evaporator. That's usually what kills the compressor eventually. That oil needs to move through the compressor in order for it to live. Oil doesn't move without refrigerant, and the less refrigerant there is, the less it moves.
When a system has been completely flushed of all residual oil, I find the system oil capacity spec., and divide it up between the components. I'll throw 4-5 oz. in the compressor, an ounce or 2 in the condenser, and accumulator, and a little in the suction line close to the accumulator, all depending on system capacity. On an economy car, I'd dial these numbers back a bit.