Objectify context not started / ObjectifyFilter missing

Filters apply to requests. Your servlet init method is not being called in the context of a request, so the ObjectifyFilter is not being run - notice it's not in your stacktrace.

Get rid of the oFactory.begin() in your contextInitialized(), that is not the correct use of that method.

If you want to use Objectify within your servlet init(), run your code within ObjectifyService.run():

ObjectifyService.run(new VoidWork() {
    public void vrun() {
        myObj = new MyObject();
        myObj.loadEverything();
    }
});

This will set up & tear down the Objectify context in the same way that the filter does.