In what order should I list bibliography entries by the same author?
For a CV, it seems that a widely accepted rule of thumb is that the order of publications is inverse-chronological, i.e. one lists the latest papers first, and moves on with older ones:

Author, title1, ..., 2018
Author, title2, ..., 2016
Author, title3, ..., 2016
Author, title4, ..., 2015
...


In case of journal articles, I've never encountered option 1. (alphabetical). (In fact, I've never encountered this case at all) For the others:

(Historical) When the citation style is (Author, year) - then the citations in the list of references are sorted chronologically, and in the text it might happen (and is fine) that e.g. (Author, 2018) will be cited before (Author, 1990).
(Logical) When the citation style is [1,2] - then the list of references is sorted by the order of appearance in the manuscript, e.g. Author's 2018 can be [1], and Author's 1990 paper can be [79] (or vice versa).

Although, each journal has its own policy regarding the citation style and ordering of the references in the reference list. If the journal has a LaTeX template, then you let it do all the work for you. In case of issues/inconsistencies - the editorial office handles the final typesetting.