After looking thorugh your files what I suggest you do is change the autorouting grid to 20mils. That will help it to avoid some of the other components. It won't be perfect. The autorouter is not the most precise tool, and while it's a good start it shouldn't be relied upon to give the best routes. There will always be a need for some corrections by hand.
To change the autogrid, in case you didn't know, simply go up to the top and click the button next to the DRC checker, it will look like a box with four black and white shapes in it. Then click on the tab labeled Routing and Spacing Rules. Then under the Autorouter rules change the Routing grid tab to .02". This will help you avoid some of those errors you're seeing.
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