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1. Racial Heritage allows you to use racial magic items, be damaged by items that affect that race and take feats with the race as a prerequisite, as the feat description says (but PFS has a specific ruling for ARG items and feats).
4. No, not even if the outsider can bypass DR of those types with its natural attacks.
5. No, only by the kinds of attacks listed for the creature's regeneration ability.
6. Yes
8. Yes, but it doesn't help you achieve a clear charge line if there are creatures, obstacles or difficult terrain in your way. You could roll Acrobatics to avoid attacks of opportunity.
9. No. You don't have to take Double Slice but nothing you mentioned would give you the effect of that feat.
1) So, this allow to use the races magic item of the advanced races guide? And this allow the selection of the feat with a race as a prerequisite?
Yes. You count as both human and that race for any effects related to race, including taking traits, feats, how spells and magic items affect you, and so on.
2) Impact critical shot can be used if an opponet is too big for the maneuvers?
I don't see why not. You're not actually making the combat maneuver, just applying a similar effect.
How it works if you use the optional rules critical hits and defense?
I have no idea. That's an optional rule, so there's probably no actual rules-based answer. You might try the Advice forums.
3) If i'm a wild caller, can i give to my eidolon with evolution surge spell the evolution that i can't give to it?
Evolution Surge says "The eidolon must meet any prerequisites of the selected evolution."
I would say since your wild Eidolon cannot take the listed evolutions, he doesn't meet the prerequisites. That ruling is kind of shaky on RAW, though.
4) If an outsider have any weapons with one or more alignment, can bypass the dr/magic, dr/adamantine, dr/silver and dr/cold iron?
If the weapon is magic, it'll bypass DR/magic. If it's adamantine or +4, it'll overcome DR/adamantine. If it's silver, mithral, or +3, it'll overcome DR/silver. If it's cold iron or +3, it'll overcome DR/cold iron.
5) The regeneration can be stopped by weapons aligned only for bypass the dr?
A creature with regeneration will tell you what kind of damage will stop the regeneration.
For example, if you had a creature with regeneration 5 (fire, acid) and DR 5/cold iron, you would bypass DR with a cold iron or +3 weapon, but that wouldn't stop the regeneration unless it also dealt fire or acid damage.
6) Scarred witch doctor uses is constitution for hex DC?
The DC of a normal witch hex is an effect normally determined by her Intelligence.
7) Martial arsti haven't the ki pool, but have the abundant step monk class feature. Can he use the rougue's ki pool for abundant step?
No idea. I guess so, unless there's something that says otherwise?
8) Can i charge and roll an acrobatics skill check?
What for?
If you want to move through a threatened square without provoking, and you use the full-speed check (CMD+10), I think that's fine.
If you want to jump over an obstacle or move through some rough terrain, then I don't think so:
Charge: "If any line from your starting space to the ending space passes through a square that blocks movement, slows movement, or contains a creature (even an ally), you can't charge."
9) If i'm a first level monk, then i take level of fighter, flurry of blows allow me the prerequisites for improved two-weapon fighting and greater two weapon fighting? Must i take double slice?
Improved Two-Weapon Fighting has Prerequisites: Dex 17, Two-Weapon Fighting, base attack bonus +6.
Flurry of blows is not a prerequisite, nor does it count as a prerequisite for any of those items. You still need dex 17, TWF, and BAB+6, or some class ability that allows you to take the feat without meeting the prerequisites.
Flurry of Blows does not grant the Two-Weapon Fighting feat, if that's what you're thinking.
10) The monk vows give the ki point bonus at the first level, or only, for example, after 5 level?
Monk Vows: "A monk can take a vow at any level, but it does not add to his ki pool until he gains a ki pool as a class feature."
4) I'm referred to, for example, the devil's natural weapons, that are aligned with evil and law. The bypass dr/magic?
Not by virtue of being evil or law aligned.
Alignment on a weapon only bypasses that alignment.
If the creature has DR/magic, then it's natural weapons will bypass DR/magic.
The Barbed Devil does not have DR/magic, so it's natural attacks don't bypass DR/magic. It does have some alignment subtypes, namely evil and lawful, so it's natural attacks (and melee weapon attacks) will bypass DR/evil and DR/lawful, but not DR/good or DR/magic or DR/anything else.
The Grick has DR 10/magic, so my bite and rubbery tentacles will all bypass DR/magic, but not DR/evil or DR/good or DR/anything else. And if I somehow managed to pick up a sword, the sword wouldn't bypass DR/magic unless it was magic.
This is all covered under Damage Reduction (Ex or Su) in the Universal Monster Rules in the Bestiary.
"Some monsters are vulnerable to magic weapons. Any weapon with at least a +1 magical enhancement bonus on attack and damage rolls overcomes the damage reduction of these monsters. Such creatures' natural weapons (but not their attacks with weapons) are treated as magic weapons for the purpose of overcoming damage reduction."
"Some monsters are vulnerable to good-, evil-, chaotically, or lawfully aligned weapons. When a cleric casts align weapon, affected weapons might gain one or more of these properties, and certain magic weapons have these properties as well. A creature with an alignment subtype (chaotic, evil, good, or lawful) can overcome this type of damage reduction with its natural weapons and weapons it wields as if the weapons or natural weapons had an alignment (or alignments) that matched the subtype(s) of the creature."
5) I'm referred to, for example, the world serpent spirit totem.
World Serpent Spirit (Su): "While raging, the barbarian considers her weapons to be chaotic-, evil-, good-, and lawful-aligned for the purposes of overcoming damage reduction. She also gains a +1 resistance bonus on saving throws against spells and effects that have an alignment descriptor or come from an outsider or aberration."
That has nothing to do with regeneration.
What the first part means is the barbarians weapons will bypass DR/chaos, DR/lawful, DR/evil, and DR/good. It will not bypass DR/magic, DR/adamantine, DR/cold iron, or DR/anything else.
If a creature has regeneration, it'll tell you what kind of damage will stop the regeneration. Even if some kind of law-troll had "regeneration 5 (chaos)" the world serpent spirit wouldn't help, because her attacks are only considered chaotic aligned for the purpose of DR, not for any other purpose.