Galley Hatch Springback (update)

I finished skinning my hatch tonight.
I have spring-back issues.
I was thinking of a way to fix it.
I was thinking of using aviation cable hidden inside the hatch.
I need to pull it back 3/4" on one side & 1/2" on the other.
Do you guy think this would work or would it straighten it more?
Also, how do you keep the galley hatch centered in the opening if you use a hurricane hinge?

I have spring-back issues.

I was thinking of a way to fix it.
I was thinking of using aviation cable hidden inside the hatch.
I need to pull it back 3/4" on one side & 1/2" on the other.
Do you guy think this would work or would it straighten it more?
Also, how do you keep the galley hatch centered in the opening if you use a hurricane hinge?