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What if any psychic powers can be cast when the psyker in assault?

Not witchfires. Other powers are allowed.

Can the psycher only cast powers on himself/unit that he is in combat with? Or could he cast them out of combat?

What are the targeting requirements for Blessings, Maledictions, and Conjurations? Are there restrictions on powers only being cast on the Psyker and/or his unit?

BRB states ( if I am not mistaken) : May effect units locked in close combat

Blessings have a general permission to target friendly models. The Assault Phase doesn't have any restriction on that permission, which means it's ok for you to Bless units in close combat, and to cast blessings while engaged in close combat.

The same goes for Maledictions, but replace friendly models with enemy models.

so can my psyker conjure daemons while in CC?

Yes. There's no restriction against conjuring daemons while in CC.