3 marks of existence Is this person describing the 3 marks of existence in the right way.

What the Buddha showed was that the actual reality of “this world” is described by the three characteristics of anicca, dukkha, anatta: No matter how hard we try, we cannot maintain things to our satisfaction in the long term (anicca), thus we get distraught (dukkha), and thus we are not in control (anatta).
The three characteristics are characteristics of phenomena and are not related to mental reactions to things. "Dukkha" here does not mean "getting distraught". "Dukkha" meaning "getting distraught" pertains to the subject of the Four Noble Truths but not to the subject of the Three Characteristics. 

For example, a motor car is impermanent. Because a motor car is impermanent, the motor car cannot bring lasting happiness. Therefore it is "dukkha" ("unable to bring happiness"). The impermanence of the motor car also makes it "not-self" because it cannot be permanently owned, possessed or controlled. To view a motor car in this way does not mean the viewer "gets distraught". For the Enlightened, it is the opposite. Their minds attain peace when understanding a motor car cannot bring lasting true happiness.