Finding the electrolytic coupling caps, if any, is a fairly technical operation. Essentially, your amp is made up of several amplifier stages, performing various functions (tone control, straight amplification, mixing, etc.). Often, the manufacturers used electrolytic capacitors to couple the audio signal from the output of one amplifier stage to the input of the next stage. Since these are usually low value capacitors, they are usually quite small. Aluminum electrolytic capacitors depend on a moist electrolyte, between their plates, in order to function and provide the required value and voltage rating. Over a long period of time, the electrolyte can dry to various degrees. The small ones are more subject to the drying out, than the large main supply caps, simply because they have a smaller internal volume. Unless you are fairly well versed in electronics fundamentals, you will need the assistance of a technician, with the needed schematic, to tell you which caps are used for coupling.
Note: Most of the original capacitor series used in these old units are long obsolete. Selecting replacements, from current manufacturers and their series, is also a task requiring a qualified tech. There are many parameters to consider (operating temp, value, value tolerance, life expectancy, effective series resistance, internal losses, size, etc.).
As to why the solder joints need to be refreshed...The life expectancy for a wave soldered connection (used in circuit board manufacturing) is around 30 years. They tend to oxidize, and fracture, etc. I have had more units fail for aged solder joints than for aged capacitors, by an easy order of magnitude. When I recap a unit, I always retouch all of the circuit board solder joints.
Note: Styrol (polystyrene) capacitors are extremely sensistive to heat. They cannot tolerate temperatures above 85 degC, and will be damaged is subjected to higher temps. Soldering involves temperatures in excess of 200 degC. You must clip a heatsink clip between the capacitor and the solder joint when retouching joints associated with styrol caps.
Rich P