Could you specifiy a bit further which direction within aerospace engineering you would like to work in / are qualified for?

As aerospace engineering is probably one of the broadest engineering studies there is, and the 'general aerospace' will lead you mostly to the bigger broader firms. And that could as well end up that you apply for sitting on a tractor on the airfield pushing aircraft. Which is lot of fun to do for a while, but probably not what you were looking for.