How to fix Beveled intersections/corners/inner edges? I'm pretty new to Blender and am trying to create a 3D type logo. It's almost done, but I can't figure out how to fix these inner corners circled in red (see images below). 





To create the rounded edges I am using the Bevel Modifier that references the model's edge data (I gave all the sharp edges a Bevel Weight of 1). It's then followed up by a Subdivision Surface modifier to smooth things out.

Any help would be much appreciated (I'm not even sure if I modeled this thing correctly so I attached the Blend file). Thanks!

JT Logo White.blend
As Duarte said, the Subsurf is not necessary and you need to clean your topology, the following method gives a good result: