Yet another set of questions about the Archmage. 
If an Archmage takes the Spell-Like Ability High Arcana:
Andargor

If an Archmage takes the Spell-Like Ability High Arcana:
- How is the DC calculated for the SPA?
- Does Spell Focus apply to the SPA?
- Can Metamagic feats be applied to the SPA after the High Arcana is taken? I know that a Metamagicked version of the spell can be converted to an SPA, but if the SPA is Empowered Fireball, can it be, say, Widened?
- If the Archmage's base class is Wizard, does Intelligence stay the relevant ability score for the SPA? (i.e. the DC rises with Intelligence)
- Can the Archmage use other High Arcana with the SPA? (e.g. Mastery of Shaping, Mastery of Elements)
- Can the Archmage take a Quickened version of a spell as an SPA? Would that make the SPA a free action? Or do you need the Quicken Spell-Like Ability feat for this?
- Does the caster level of the SPA rise with the character's caster level?
Andargor