When it come to your sharpshooter and other awards man YOU CAN by all means start to work on it and by start work on it i mean that as long as you keep track of things in the proper manner and keep all you links in order.
I will tell you this though,as a recruit your primary focus is to complete the marksman and recruit process and once the appropriate officer checks this over he will then recommend your dogg ribbon and marksman awards.
Until these are awarded and I stress this NO OTHER AWARDS WILL BE RECOMMENDED!
I hope this answers your question to the appropriate degree.Continue with the great work.