I am a little confused by the rules stated on page 115.

If you have flame weapon (universal) training, do you additionally need heavy training (for example) to use a heavy flame weapon without giving a bonus to dodge for people you are aiming at?

That is, if you want to use, for example, a flame pistol, do you need both flame training and pistol training, or will flame alone suffice?

Flame Weapon Training: You have training with all non-Exotic weapons with the Flame Special Type. The Class is basically only relevant for other talents such as Gunslinger or Bulging Biceps.

This leads into a related question: If you pick up Flame Weapon Training from the "The Hand if War" option under the "Trails and Travails" part of the Origin Path, do you pick up Universal or do you have to choose between Pistol, Basic and Heavy?

See previous. There is no Flame Weapon Training (Universal).

Errant said:

Errant while I agree with your rules interpretation for the most part, for clarity I wanted point this out.

RT Core Book pg. 98:

"Flame Weapon Training

Talent Groups: Universal"

In fact there is Flame Weapon Training (Universal) and it is the only form of the talent in the core book.