I am an Indian student who recently finished his masters from France and is about to start his PhD in Luxembourg from December. Currently, I have applied for a tourist visa to Luxembourg for 5 days in October to visit my new workplace and have provided the itinerary likewise. However, after applying I have decided to visit my old uni and professors in France and stay there for about a month, after my Luxembourg visit.
My questions are:
1) since most probably the Luxembourg tourist visa will be issued as "duration of stay: 5days" do I need to apply for a separate French visa for the vacation afterwards?
2) in case I apply and get the French visa, will it be an issue that I won't be returning to India from Luxembourg, as I had mentioned and shown tickets while applying? I will be obliged if someone can help me out .