I want to say that I have done 2 more things wihtout exit:
In visual studio->References->System.Data.SQlite-> properties-> local copy TRUE
I've created a directory named Data in my Solution Explorer of visual studio and I copy there my sqlite db (so I remove from bin/debug and bin/release), to be cleaner. Then I change the ”Copy To Output Directory” property to “Always” of my sqlite.db
When I publish the application I don't see the sqlite.db file anywhere.