There is no connection other than that these emissions come from the same galaxy. There is a jet of matter coming out of the nucleus, which often points towards the lobes. Variations in brightness of the nucleus occur at the same time as variations in the lobes or halo. Both produce the same type of radiation. They are all surrounded by young galaxies.
Nonthermal radiation is emitted only by very young galaxies.
They are all distant. They are star-like in appearance. It is proportional to it. It depends on the square of it. It is inversely proportional to it.