Hi and welcome.
That could be an interest one to solve (for you I mean!) It looks like a good exercise to help students in their first steps in problem solving and fault finding.
The order of tests would not be absolutely critical but there will be optimal routes through the process. You could do without the Scope for all of those measurements - as long as you were to use appropriate values for the Capacitors.
I guess you ought to start with Health and Safety (of the test meter at least) in mind - i.e. check whether the component is a source or sink of power (with the V setting) and use the AC/DC switch to determine which it is . So V or No V would be your first decision followed by the choice of AC and DC with the values found (on one branch).
Then for the other branch, with the Meter on Ω, there would be a choice based on a delay in the meter reaching its final value (i.e. Capacitors present pr not?). The chains of decisions after that decision outcome could be in any order - selecting the measured value.
To resolve the values of Capacitors, you would obviously choose capacitance values to make a significant difference in settling time.
Just one comment on the 'flow chart' approach. I would encourage them to throw away the paper work after they have done the exercise, lest they rely on it, rather than learning how to approach such problems in principle.