Well, it looks like you're trying to nerf the hell out of SR with these changes. In addition to making it weaker, it looks like it also takes a feat to get a small set of abilities. This approach does have the benefit of making Conjuration less uber.
That being said, I'm not sure that Spell Resistant should apply to just one school. The benefit is actually quite small, and if people can just switch which school they're casting, the feat will be useless. Also, there are lots of spells that don't offer a save, and touch spells will totally bypass this. You may want the bonus to apply to touch AC as well.
Spellshielded is also pretty weak for the most part. I'd suggest either increasing the amount of energy resistance, or having it apply across the board to all types of energy at the values you've listed. Remember, this costs a feat to use, and it's still a nerf to SR as it's written.
As for the math on Shake it Off, simply use d20 + (SR - 10) against the caster's caster level check or have the caster make a caster level check against your static SR. I mean, that's now a normal dispel check works, and SR is already designed to oppose CL anyway. You just choose the first approach if you like opposed rolls. If you use the second approach, it's basically the same as how SR works now, except that it takes an immediate action to use.