Tuning to E
First thing I would do is straighten the springs out, moving them to the inside only makes them wear out (lost pulling strength) faster.
Secondly, if your using a .009 guage set (I'm assuming you are) tune your guitar up until your bridge is in the correct position regardless of pitch.
If it's flat, tightem up the trem claw 1 full turn each screw. Then check your tune and the bridge position. If it's still flat but the bridge has moved backa little, tune the strings up in pitch and that will bring the bridge foreward.
Your going to have to do this sort of tapdance between the trem claw and the tuning.
You may have to add a 4th spring depending on the strings you use.