1952 Zenith Bugeye AM/FM Clock Radio

[Electronic M]

Your DMM probably on its sub k ohm range has a max resistance measurement limit of 200-400 ohms and anything above that will read as infinite unless you move the range switch to a higher range. The 470 ohm resistors are probably fine.

The lytics measuring in the pF range are almost certainly open and defective. Picofarad range capacitance is easy to get from the cutoff leads of the cap, your instruments test leads, set wiring, etc. All can present a few dozen pF to the meter easily. Heck if you have a good amount of RCA A/V cables you'll find most have well over 100pF between center and shield. Any 2 conductors not connected to each other have some finite (possibly measurable) capacitance between them.