How to thicken surface without creating height?

I have a surface of faces which I want to "thicken" by 1mm to fit inside a case. When I use the thicken feature to do this is works fine apart from the upper left curve where it has added height.

What is the best approach to avoid this or do I need to do a post op to remove it? (I'm very new to Solidworks so please be verbose in any explanation!).

Thanks!

SolidworksParts And Features