Ok, three characters later and I have comments.
Overall I found the flow chart to be difficult to use. Many places it was only my knowledge of Traveller that allowed me to follow what you were trying to do. Several notes fall outside the correct flow and thus seem like extra steps.
Specific Comments:
-- Failure on Qualification goes to the spot only referring to the draft. But if the rules it says you can only do the draft once in a life-time. The flow chart does not deal with what happens if you already used up your one draft.
-- The chart seems to make the draft mandatory, not an option. There should be a comment of some kind offering the option of Drifter as well. In order to be accurate, the draft should be an option only if you haven't done it yet.
-- Basic Training implies you only get it once. But in fact you just are only restricted to receiving the six zero level skills once. From then on basic training gives you a single zero level skill. But the flow chart does not reflect this at all.
-- The line asking you to add 4 years to your age and maybe receiving some ageing effect comes only from the muster out flow. It bypasses the cycle where you survive and advance and continue in the same career. The flow chart should have the aging process fall between either of these and the "Start a New Term" circle to correctly reflect either paths will add 4 years to your age.
-- The Qualify Circle should only happen if you change careers. The "Or Continue Existing Career" only comes after a Qualify failure based on its location on the chart. So it seems, based on this flow chart, that I continue my career only after I fail a qualify check.
In my opinion, this is a classic case of designer overload. The art overrides the utility. This chart could have been significantly better. If it were my call and I really wanted a flow chart, I would toss this one out and start over. This chart is awkward to use when I know the game. I can't see how a new person not knowing the flow already would not get messed up using it.
But if you are open to other options, I would return to the list format used in the 1st ed book or presented here in the forum. The "check list" style seems more useful to me.