Yes, but even more specifically, that type of core is most often used in RF matching, amplifying and mixing applications, where the wide bandwidth of the core (high inductivity means fewer turns and lower capacitance) allows easy design (it can be treated as a transformer, without having to cancel out the reactance or deal with poor coupling), and wide band performance (one of those transformers might handle the entire cable TV spectrum at once).
The enamel should be colored differently, so that hand insertion would be able to get the correct phase.
The rest are just ferrite beads. As you say, unless there are four (or more) wires, there's nothing to be common against.
FBs are good for filtering signal level currents. They are often found in power supply paths, but this can be tricky; they saturate easily at modest DC current, defeating the purpose (for those applications, a proper inductor should be used instead, which can handle the required current). They are of particular value when it's desirable to isolate internal and external signals: preventing external RFI from entering a circuit (via connector), and filtering internal noise from leaving (same thing, opposite direction).
Tim