Your totems use your stats when they cast to determine stuff, so yeah your spell damage affects totems. Your totem damage also affect totems. The downside with totems is positionning(in some cases), targetting, the possibility they die and spelltotem itself has a cast speed penalty. Oh and since you need to spend points on totem related nodes in the tree, you'll have less points in casting spell or survivability stuff. But generally speaking, almost everything that affects you also affects totems. You can't give charges to totems though(power/frenzy charge), however if you have the charges yourself they'll use the speed/crit from the charges to cast so that also works.
Minions on the other hand(zombies, spectres and shit) are way different. Almost nothing you have affects them unless it specifically says it affects minions or is an aura/debuff on the mob.