In your photo it looks like the saddle slot has a scooped out area matching the length of the shim, like it wasn't milled flat. Perhaps the shim was an attempt to fill that dished out part of the slot, albeit not well because the dished area has a curved bottom.
If you've got a buzz on the E string, I would put in a 1/32" shim that extends the entire length of the slot to get you back to buzz-free. That would put your E string action at 5/64". To get the action better, you'll need to have the frets leveled, recrowned, and polished and perhaps the nut slots adjusted. This may cost more than you're willing to put into a travel guitar.
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