Worthy of note: The Beguiler, at least, was deliberately given spells of 3 different 5-7th-level spells besides the ones in her specialty schools, so she could qualify for Archmage reasonably easily. I don't know Spell Compendium very well, so I might be missing something, but it looks like your class only can get Transmutation, Conjuration, Abjuration, and maybe Necromancy (evil) spells at these levels, so you might want to throw in some more to even things out. Contingency perhaps would be a thematically-appropriate (if dangerously powerful) Evocation?

Also, the Warmage and Dread Necromancer and Beguiler all have the spells/day table of a Sorcerer. Strange that this class should deviate from that.