Yes, it certainly makes sense to have a capacitor in line with the speaker to block lower frequencies, if they were not so processed in the amplifier. I cannot tell where this capacitor might be just from the circuit diagram. Logically, it would be in the amplifier case, or possibly on the speaker frame, but read on.
In item 3 of my response, above, I said it was more important to hear a popping sound coming from the speaker when you connect the ohmmeter. This still applies in the case of a series capacitor, which will pass the voltage spikes of a meter lead being connected, especially if it is slowly moved across the conector pin. Of course, no scratch or pop noise or a zero or near zero reading on your ohmmeter means a problem in the speaker, wiring, or a speaker-mounted capacitor. Using a different method, after disconnecting the rear speaker, you could connect a test speaker to the amplifier, using whatever alligator clip test leads and pins arrangement is necessary. Turn the radio on, using a low volume level for component safety, even capacitively coupling your test speaker, if so desired. If it works, then you know to look beyond that point, toward the speaker.
Hope this helps.
Regards,
Bill