definitions, where do they come from?, do they make sense?, are they widely accepted?, do they correspond to the intuitive meaning?, have they been imbued with emotional content?
premises, which premises are objectively verifiable, which are subjective beliefs / preferences?, for premises that rely on other sources, identify the sources, their credibility, and possibly verify
reasoning / inference, identify the kind of reasoning being used: probabilistic, logical, etc., determine whether the argument is valid, determine whether the reasoning method is appropriate (substituting logic for probabilistic reasoning is a common fallacy)
conclusions, understand the conclusions and weight of support for them, ensure that the statements are
why is the author making the argument?
am I emotionally affected?
do I want to revise my beliefs / preferences?