Looking at circuit diagram, it appears AM/FM has its own section up until CF2 (Ceramic Filter 2). While AM and short wave signal path is discrete, FM is most entirely done by the IC. My approach would be to replace two capacitors under top B+ (I cannot read the label), and C16 and C17, c22 and c32.
AND, reflow the solder on pin 5 and 6. They look to be not completely filled. It may be held by one side only, making susceptible to cracking with temperature cycle.
Radio of this era, I am very familiar with....
Can I hear what your FM sounds like?