Where are you getting this from because there is no such spell. If your referring to mark and recall then I'll dispute that momentarily.
Dispel - Easily moved to Restoration - it's a curing type spell
Not necessarily. Dispel is essentially the removal of all magic effects from one's body, and while that may sound restorative, it really isn't, as while it is restoring the body to a normal state, it isn't restoring anything beyond that, which is what restoration does. Even cure spells/effects work differently from dispel, as magic is not a physical ailment against a physical body, but a magical changing force affecting a physical body.
Lets see what the Oblivion manual has to say:
"Restoration heals, restores and fortifies the body's attributes and abilities, cures diseases and protects it from other malign influences."
According to your above statement Cure and Restore spells are not Restoration because they don't restore any thing beyond a normal state. Try again.
Soul Trap - Moved directly to Enchanting skill though could possibly be put with Conjuration as well.
Could be yes, but again, it just doesn't make sense going by what each school is actually defined by. (though enchant and soul trap could be debated over)
Seeing as how soul trapping is essential to enchanting this is really not debatable.
Telekinesis - Is clearly Alteration which is the manipulation of the physical world
Not manipulation, but alteration. That is the difference
Lets see what the Oblivion manual has to say:"Alteration involves manipulation of the physical world and it's natural properties."
Yep that is what telekinesis
is and teleportation too for that matter. The moving of objects or beings short or far.
Detect Life - Easily an Illusion spell because just like night eye it is and altered perception
Thing is here, however, that detect life is the detecting of the soul. While yes it could be altered perception to the mortal eye, in the scheme of things, the power behind it has more to do with mysticism
Lets see what the Oblivion manual has to say:"Illusion affects the perception and mind of living subjects."
Detect life alters your perception be able to see life
Spell Absorption - Another easily moved to Restoration because it's very similar to Absorb
Absorb should never have been taken out of Mysticism, as it is the direct connection and mass movement of life force and other properties, which has a lot to do with Mysticism. Spell Absorbtion is more or less the same thing, but with magical force.
But since absorb IS in restoration then that is the best place for it.
Reflect - I'd say Alteration seeing as it's really just another type of shield and all of the shield spells are in this school.
Reflect is far from the sort of shield that alteration creates. Alteration shields only help absorb physical damage. Reflect literally reflects that damage back onto the person issuing it. This is not something that alteration can really accomplish with its definition
Wrong, Fire, Lightning and Frost shields are also Alteration spells. Elements are considered to be forces of the physical world and regardless of their origin(natural or magical) Alteration can manipulate them to the point of nullifying their effects or out right reflecting them back at the source.