Aurelion Daronson's page

No, you can't cast 2nd level spells because you don't have any 2nd level Spell Slots. Your Sorcerer Caster Level is 1, and your Bard Caster Level is also 1. There is no 'total' Caster Level.

I do have a bonus 1 2nd level spell per day because of my Charisma is 18 score. http://www.d20pfsrd.com/basics-ability-scores/ability-scores/#Abilities_and _Spellcasters

Ability Score Bonus Spells per Day (by Spell Level)
Modifier 0th 1st 2nd 3rd 4th 5th 6th
10–11 0 — — — — — — —
12–13 1 — 1 — — — — —
14–15 2 — 1 1 — — — —
18–19 4 — 1 1 1 1 — —

If am a level 2 half-elf who decides to put one level in Sorcerer and one in Bard is my total caster level 2(they are both arcane caster levels.)? Sorcerer allows me to cast 3 level 1 spells (no level 2), bard allows me to cast 1 level 1 spell (no level 2). so I have 2 caster levels does that mean I can cast a level 2 spell to use my level 2 ability score bonus spell per day.