Deploy ASP.NET MVC app with SQLite to Azure web site

I have an ASP.NET MVC 5 application including a Web API 2 service, and I published it to my Azure Web Site. The static site works just fine - and the Web API worked, too, while I was serving dummy data.

Since I've added a SQLite database (in a .db3 file inside App_Data), I cannot call my Web API Service anymore - I just get a "An error occurred" message, and I can't seem to find out how to really figure out what's going wrong.

I also installed Elmah.MVC into my application, but when I try to navigate to http://ift.tt/1N54IHd, I get another error:

You do not have permission to view this directory or page.

OK, now I'm stuck - locally on my machine - of course - it all works just fine. But this whole Azure deployment story is a big mystery to me - still.

1. How do I find any kind of error logs so I could begin to understand what's going on?
2. Is there any way I can see the files in the file system that make up this app? I'd like to check if all the files I'm expecting to see are really in place