Bloodrager / Brawler Unarmed Combat Clarification

[Alianak]

Howdy. I am seeking some clarification if I may as to this build, how it interacts with unarmed combat, how attacks work and calculating bonuses or penalties to damage and to hit.

Currently I have a level 3 Human Bloodrager (1)/Brawler (2). The Bloodrager has a Blood Conduit Archetype, and the Brawler has the Snakebite Striker Archetype. Other details outlined below:
1 Level Bloodrager
2 Levels Brawler

Abilities:
17 (21)
12
14 (18)
10
11
14

Traits:
Adopted (Tusked): Bite attack 1d4
Indomitable Faith: +1 Will Save

Feats:
Feral Combat Training (Claw)
Weapon Focus (Claw)
Improved Bull Rush
Improved Unarmed Strike
Step Up
Press The Wall

Class Abilities:
Bloodrage (+4 Str / +4 Con while raging)
Claws (while raged)
Brawler's Flurry +1/+1 (Two Weapon Fighting)
Brawler's Cunning
Martial Training
Sneak Attack 1d6
Unarmed Strike 1d6

I am trying to clarify what combinations of attacks can be done in a full round, after a 5 foot step, after moving, what can be used with Brawler's Flurry and what can't, as well as adjusted bonuses or penalties. Bite and Claws would be the primary damage dealers while bloodraging.

The intent is to continue this as an unarmed melee striker. Any suggestions or help would be most welcome, as well as pitfalls I may encounter.

Thanks in advance.

[Chess Pwn]

flurry = IUS-2/IUS-2
non flurry options
Claw, claw, bite
IUS, claw-5 1/2 str, claw-5 1/2 str, bite-5 1/2 str

Above are your full attack options. A 5ft step can be done before them, or in between them, or after them, but only 1 step per round.

If you move action move then your options are
IUS or Claw or Bite.

[Alianak]

So while raging I can opt to use unarmed strikes or claws; if using claws I can't use Brawler's Flurry with them.

Out of raging I can use Brawler's Flurry with unarmed strikes, with a -2/-2, and bite attack at -5 1/2 STR.

While raging I can use a full attack of Bite/Claw/Claw. Does it work that Bite is at full BAB, and Claws are at -5 but still apply full STR?

[Kazaan]

Wouldn't those claws be primary natural attacks? If so, then the claws and bite would all be at full BAB and full Str if you use just them.

One more thing; if you aren't raging, then the bite is your only natural weapon and, as such, it would get 1.5x Str. This is handy for making AoOs, at least early on before your unarmed strike dice makes up the difference.