Yes. The Core Rulebook has the following to say about dodge bonuses:
Dodge Bonuses: Dodge bonuses represent actively avoiding blows. Any situation that denies you your Dexterity bonus also denies you dodge bonuses. (Wearing armor, however, does not limit these bonuses the way it limits a Dexterity bonus to AC.) Unlike most sorts of bonuses, dodge bonuses ...
What you describe
No. The Beast Speaker feat does not add a second animal companion. It extends the list that you can choose to include certain Magical Beast. Specifically,
Benefit: You can select a creature from the list of magical beasts to serve as your animal companion.
Not as another animal companion, or as a Cohort (which also doesn't do what you ...
Assuming nothing else about the animal companion, if the animal companion wears a frost amulet of mighty fists, then the companion is the subject of a greater magic fang spell so that its natural weapon gains a +3 enhancement bonus, the animal companion benefits fully from both the amulet and spell.
(Unlike a typical magic weapon—see here—the amulet ...
Tier 3, but very strong ones.
Path of War isn’t handing out game-warping effects like open-topic divinations, long-distance teleportation, or poaching monster abilities via conjuration or domination. The hallmarks of Tier 2 and above simply aren’t present.
But among Tier 3 classes, Path of War initiators stand out. Several of them have extremely potent ...
When the rules for the Hunter's animal companion say
If a character receives an animal companion from more than one source, her effective druid levels stack for the purposes of determining the companion’s statistics and abilities.
they mean that instead of getting a second animal companion, your levels stack to determine the abilities of your first animal ...
Disclaimer the first: I worked for Dreamscarred Press for a time. I was there to work on psionic material, and at the time, Path of War had already been published, so I didn’t particularly have much input on the original publication, but I worked with a lot of the people who worked on it, and one of the goals then was to heavily errata Path of War. So that ...
Can I attack with bite and claws?
Either Bite or one claw attack. Standard action attacks are normally only one attack, ever.
Do I need to do full round attack to get all 3 attacks?
Yes. At 7th level effective druid level (you get at 7th level but some classes don't) your Big Cat companion gets Pounce. That means on a ...
You don't choose them from any list
Unlocked Talent says:
In addition, when you take this feat, select any one 1st level power
It doesn't come from a class list, it's just any 1st level power that exists. As long as you don't have features that specifically increase a power's effective level for you (which a single-classed Aegis doesn't) you can take any ...
Simply damage the rider.
The [Ride] skill says the rider needs to make a check when they take damage under the Stay In Saddle special action.
Stay in Saddle: You can react instantly to try to avoid falling when
your mount rears or bolts unexpectedly or when you take damage. This
usage does not take an action.
It is only a DC5 Ride Check but you could ...
Equipment can benefit from multiple enhancements
With certain exceptions, a weapon can benefit from multiple enhancements. The same principle applies to unarmed strikes and natural attacks. Abilities and benefits add together, but there are certain exceptions and limitations.
Enhancement bonuses do not stack. It would use the highest bonus.