The woofer / mid range should be in-series of inductor. If the amp have high power or DC components happen, the woofer / midrange can be damage.
You can use a simple "analog moving coil meter" to measure the resistance of the coil in DC mode. It should be around 8 ohm "resistance"
If totally open circuit, your coil may be damage.
On the other hand, you can use the meter to measure the "tweeter", normally, the tweeter will in series of a capacitor which is protect the DC components from the Amp and another function is a simple first order cross over filter.