Yes. Unless said fighter is a human, then 3 feats (1 normal feat, 1 combat bonus feat, 1 feat for being human)
Yes. +4 bonus (1 rank, +3 class skill bonus,+relevant modifier)
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A fighter gets a bonus feat starting at first level and every even level (meaning he gets a feat at every level).
Does the fighter start with 2 feats at first level(1 standard + 1 bonus)?
Thank you
Edit also with skills does putting the first rank into a class skill result in a +3 bonus or a +4 bonus (+3 class skill + 1 rank)
From the PRD
Bonus Feats: At 1st level, and at every even level thereafter, a fighter gains a bonus feat in addition to those gained from normal advancement (meaning that the fighter gains a feat at every level). These bonus feats must be selected from those listed as combat feats, sometimes also called “fighter bonus feats.”
So Yes, a fighter would start with 2 feats, 1 for being first level and 1 as his bonus feat.
As for the class skills, you gain a +3 for the skill in question being a class skill so if you put one point into a class skill then you would add +4 to your skill roll. (+3 class skill + 1 rank)