True.
It's a question of whether you interpret the redshift as a function of time dilation, or "space expansion".
http://arxiv.org/abs/astro-ph/0601171
Keep in mind that only Doppler shift expansion (moving object expansion) has a tangible effect on a photon in a lab. The "space expansion" claims remain an act of faith in the "unseen" (in the lab). Space expansion is an *alleged* cause of photon redshift that defies empirical support in the lab.
I would say no, yes, and no.
All redshift means is that *somehow* the photon *appears* to have lost some of it's energy since it was first emitted. The idea such energy is lost to the plasma/QM medium is called "tired light" theory, and several forms of inelastic scattering are *known* to cause photon redshift. Both Doppler shift and inelastic scattering have been documented as empirical causes of photon redshift. "Space expansion" has not. It's *assumed*.
It ultimately depends on the *cause* of photon redshift. If it's not caused by expansion, then redshift came first.
Hubble himself wasn't particularly keen on the expansion claims by the way.
Yep. If is caused by "space expansion", then Lambda-CDM has merit. If it's caused by inelastic scattering, or moving objects however, EU/PC theory is your best bet.
I think I'd like to see that quote.

Technically photons, regardless of wavelength, all travel at the speed of light in a vacuum. If you pass light through a medium other than a vacuum, light can be 'slowed down' by it's interaction with that material. Nothing with mass travels faster than light and photons travel *at* the speed of light at best case inside of our solar system.
Halton Arp was right about that. Unfortunately the number of jobs in astronomy is still pretty small, and fear of losing one's job is still a motive.
After the last Bicep2 public fiasco, the revelation that 'standard candles' aren't all that standard after all, and all the mass the underestimated in those early "dark matter" studies, Lambda-CDM is looking pretty shabby around the edges. It looks ok from a distance, but as you get closer, it's definitely a supernatural house of cards that is destined to fall sooner or later.