4 schools are not optimal-you better be off with 2 schools to maximise their potential, but sure you can go 4 schools
stat, skill allocation-you dont need dex, per.Get to 6 con, 6 agi preferably.You could lower your crafting skills a bit, there are ways to boost them.Max out tm too
feats-i would get rid of extra psi reserves, future orientation, recklessnes (which dont work with psi), paranoia.I would also change other feats, but its your preference.You need neurology, sprint, fast metabolism, continum ripple