There are two characters that my first question would effect. I don't have the blood rager in front of me but his power works similar. Imrijak encounters a monster. She then reveals a range weapon to use her range skill for the combat check. Next she recharges a card with the range or divine trait to add the divine trait to her check. Can I then play a blessing of Abraxas to add 2 dice to the check since in now has the divine trait?
Yes. Abraxas says "Discard this card to add 2 dice to any Arcane or Divine check."
Play Cards and Use Powers That Affect Your Check (Optional). Players may now play cards or use powers that affect your check... Some cards and powers affect only specific types of checks, such as Dexterity checks, Acrobatics checks, or non-combat checks...Traits also determine the type of check; for example, if you’re attempting a combat check and you played a weapon that added the Ranged trait, it counts as a Ranged combat check.
My next question is slightly related to the first. Could I first play a blessing of Pulura to ignore the corrupted trait on Abraxas. Or can I play the blessing of Pulura when I'm forced to discard a card for playing Abraxas. Or would neither since I would be playing two blessing on a single check.
I'd say no. All that seems to be happening during the check still, and you've already played 1 blessing.