Agreed on both counts regarding the examples in the OP. That is, job titles should be capitalized when they are taking the place of a single person (or otherwise acting as a name of an entity). However, there is no need to capitalize in other cases, and it would be strange if capitalized in the second example, unless it were in a company operations manual, for example.
A similar example is when you capitalize "dad" in the sentence:
I'm going fishing with Dad tomorrow.
However you don't capitalize it in the following version:
I'm going fishing with my dad tomorrow.
The former replaces a name, where the latter simply states the relationship of the person.
All proper nouns need to be capitalized. I believe you are puzzled over whether "Asian" is a proper noun or not. I don't see why not. We need to define what a proper noun is:
A proper noun or proper name is a noun representing a unique entity (such as London, Jupiter, John Hunter, or Toyota), as distinguished from a common noun, which represents a class of entities (or nonunique instance[s] of that class)—for example, city, planet, person or corporation).
Now, I believe you think that "Asian" is too broad a noun to be called a proper noun, because it seems to represent a class of entities, that is, a group of various people, such as Spanish, French, etc.
Does that mean, however, that we shouldn't capitalize "Europe", but should just write it as "europe"? Of course not. "Europe" still refers to a specific place, a continent, and "Europeans" refer to a specific people, the people that come from Europe. And there's only one group of people that comes from Europe, the Europeans.
Best Answer
No, units generally do not need capitalization when spelled out. For SI units, the Bureau International des Poids et Mesures is the authority:
However, capitalization is used in the following cases:
Symbols for SI units named after people, for example:
1 A
1 Å
Note that the names of the units themselves are lowercase.
The symbol for litre or liter is l, but is often written as L to prevent it from looking like the digit 1. It is also sometimes rendered in lowercase cursive form ℓ for the same reason:
Temperature degree units, e.g. degrees Celsius or degrees Fahrenheit, abbreviated as °C and °F, as stated in the quote above.
Note, however, that the kelvin follows the rule for units named after people: 1 kelvin, abbreviated as 1 K.
Special non-SI units, such as the British thermal unit, abbreviated BTU or Btu, or the US gallon, for obvious reasons.
The astronomical unit is abbreviated either as au or AU. The international unit is abbreviated IU.
A byte is abbreviated as B; a bit is abbreviated as b.
A decibel is abbreviated as dB.
One unit where capitalization makes a huge difference is the calorie.
A calorie (abbreviated cal) is the energy needed to heat one gram of water by 1 °C. This unit is used by physicists and chemists.
A Calorie (abbreviated Cal or kcal) is actually a kilocalorie — 1000 times the amount of energy of a calorie. This unit is used by dieticians and the general public when describing food.
Naturally, at the beginning of a sentence, the usual rule that the first letter be capitalized overrides all of the above. For example,
Also note that capitalization is significant in the SI prefixes. For example, mW is a milliwatt, and MW is a megawatt.