Quick questions about totems

I want to make a low life dual totem caster build and would like to know how a few mechanics interact first:

1- Does redbeak / Pain attunement affect totem damage?

2- Does Righteous Fire (casted on self) affect totem damage?

3- How does increased effect of buffs interact with Righteous fire?

4- Does the Haste aura (casted on self) affect totem cast speed?

5- Do totems gain 100% crit when I use a diamond flask?

Thanks in advance.

Yes, Yes, you get more spell damage and probably burn faster, Yes, Yes.

In all cases, if a totem is being targeted, it has its own stats for defense (hp, resists, etc). If a totem is attacking, it's casting your spells and gets all your passives and gear mods.