Sweet Vanilla loving at a secret base...I like it.
What a great mom. It's always nice to see them so...supportive.
And considering that ending, I think it's safe to say her 'little push' was rather effective.
*okÄ-san. Oba-san is an aunt or an older woman, meaning she'd be an oba-san to Kazuya. Also note the macron on the a. It's quite important. In lieu of one, a double-a can be used. Oka-san and okÄ-san/okaa-san do not mean the same thing. Just like "oba-san" means aunt, while "obÄ-san"/"obaa-san" means grandmother.
EDIT: MHM-Dono has edited his/her original comment, albeit with an error.