Personally I think your instructor needs to give a bit clearer in direction.

Well, a couple of things off the bat - Jan 3 2012 was a Tuesday and Jan 3 2015 was a Saturday. So, did you change Jan 3 to a working day? Or should you have started the project on January 2 - a Friday or the following Monday - January 5.

Did you enter all of the holidays (New Year's, Martin Luther King, Memorial Day, July 3 (observed in 2015), Labor Day, Thanksgiving and Christmas?)

It is impossible for me to tell what is going on with just screen shots. I don't know the instructions you have been given - but I'd start with getting some clarity about when should the project start.

If I enter a start date of January 2 and enter the summary task R&D and the subtasks through "Nutrition report" plus the durations and links - I get a summary task duration of 50 days not 54. The screen shot you show from the tutorial is incorrectly not using the Project Summary task - so all Task IDs are off.