Jason, I'll do each point;
1. Last post -almost perfect, but signal is not 'damaged' by compression (see Hau lab experiments in BEC)
2. "Why isn't FTL phenomena invisible?" You struggle with this and need to focus; We are NOT seeing 'photons' that have been ftl. In both atomic scattering and QED energy is re-emitted at the new speed, as NEW 'photons' if you wish, doing the new 'c'. Each only tell us of a relative POSITION at a certain time. You missed the point about the edge of the shadow. You must think more carefully, how fast does the signal about it's position reach you? at 'c' wrt the CMB rest frame (the one that can't exist in SR).
3. Causality. The fact that we are NOT seeing the actual 7c photons protects causality. Which it has to as we already see some photons, emitted together in one order, arriving 3 years apart in the wrong order (Einstein lensing). The real cause of this is refraction in the (c/n) plasma curving the light, and the co-motion of the medium (i.e. galaxy) causing the light moving through it to either be delayed or arrive early (subject to galaxies motion). This is real nature, (discrete fields) not the 'elephant dropping' belief based 'science' they still teach at college. You'll note it explains why mass in motion wrt a vacuum has higher gravitational potential (due to the condensed plasma) than that at rest, which nothing else does.
4. Wormholes. They don't exist. Black holes are toroid. (Look at my fig 3, the centre of the crab nebula and many others on the web) probably with Lagrangian points at the centre not singularities.
5. Plasma jets heading away from us can't be seen due to the red shift. I've predicted we'll find some on radio wavelengths, and sure enough wadayano, they're often called 'radio galaxies'. (I have to smile or I'd cry!)
Have you read the famous short 'Who moved my cheese'? It should be compulsory reading for scientists.
Let me know if that helps. But be prepared to conceive of the CMB 'rest frame' field condensing particles, and NOT in conserved photons. Then the elephant starts to become clear (along with dilation and contraction) and you'll wonder why the others can't see it.
Peter