This question is related to plasma created in a microbubble within a dielectric liquid. This phenomena is related partial discharge studies in electrical power engineering.
Generally not. This would be too much oversimplified. The spectrum of plasmas can be very complicated involving all sorts of different waves that an be excited during the different phases of the lifetime of the plasma, like e.g. drift waves, magnetoacoustic waves, Alfvén waves etc. Some of them are harmonious, others, like drift waves in the turbulent state, can even have a continous spectrum. The study of waves that can occur in plasmas and, therefore, the spectrum to be expected in a particular case, is actually a demanding research topic on its own. It all depends on the very details of the plasma at hand, i.e. what elements it is made of, the ion and electron temperature and density profiles, the dynamics of its creation etc,, and even on the geometry of the plasma confinement.
Of course,plasma emits electromagnetic radiation. Glow discharge glows.
Plasma is charges coupled to their own electromagnetic field. That field is certainly kept. Plasma oscillations are longuitudinal and certainly are not coupled to transverse field. But all other kinds of radiation could be emited.
Cold plasma, like metal, emits thernal radiation which can be descreibed as black body radiation. A slab of iron becomes red, yellow or even white when heated.
Hot plasma is transperant to electromagnetic radiation above plasma frequency. But, considering its emission, one has to take into account impact excitation of atoms, which is not thermal. The discarge is not an equilibrium system. So, black body radiation is not applicable here. As you know Hg is added to the gas of the lamps to make them shine well.