Possible problems:
- Bad volume-control pot. It might be very dirty (in which case,
rinsing it out with DeOxIt might fix the problem) or the conductive
element might be work or cracked (in which case, replacing the
pot is the only good solution).
- Bad speaker-protection relay - the contacts may be "burned"
or dirty. These can sometimes be cleaned, or the contacts
burnished with a proper tool (usually a very-fine-grit diamond
polisher) but must sometimes be replaced. [From what I see of the
schematic, your HK doesn't have one of these, so you can skip this.]
- A dirty or bad signal-selector switch... either the input selector,
or the "tape monitor" switch, tone control switch, tone defeat
switch, speaker on/off switch, etc.. Cleaning all of these with
DeOxIt or similar may fix the problem.
- A cracked solder joint somewhere on the PC board.
- A bad board-to-board or board-to-cable connection. It looks as if
that HK has a bunch of interconnect cables between the boards...
a loose plug connection (e.g. from metal fatigue in the socket) or
oxidation might cause problems.
- An inter-stage coupling capacitor (typically electrolytic) which
has gone bad... they sometimes become leaky and can also fail
intermittently.
Before you actually start trying to fix things, you should do some
trouble-shooting to identify the specific section of the receiver
that's not working right. A good place to start is at the
tape-monitor jacks. If you tune to a known-good FM station, select
FM as your input, and can see a signal at both "out to tape recorder"
jacks, you can deduce that the input half of the receiver is likely
OK and that the problem lies "downstream" (control section and
amplifier). Conversely, if you can feed another receiver's "to tape
recorder" outputs into the HK's "tape monitor" input, then select the
"tape monitor" function, and get reliable and controllable output from
the speakers, you'd know that the control section and amp are probably
OK and that the problem lies "upstream" (in the input selection
section).
One useful diagnostic technique: set it up to (try to) play a
known-good signal at a moderate volume level into a set of test
speakers (i.e. ones you don't care about). Then, start tapping on
things - the board, controls, cables, jacks, switches, etc. - with a
wooden chopstick. If there's a cracked or intermittent connection, it
will probably make itself obvious when you tap on or near its
location.