Error Analysis:
-In 1713, Alexander Pope began his translation of the Illiad, a work
(here the correct tense began is used)- that, taking him seven years until completion, and
("that" here correctly refers to "the work". "Taking" is not a verb since verb-ing needs to be preceded by is/are/was/were/be and thus this is a SV error)- that literary critic Samuel Johnson, Pope’s contemporary, pronounced the greatest translation in any language. ("That" here again refers to the "the work")
Choice Analysis:
A. his translation of the Illiad, a work that, taking him seven years until completion, and that literary critic Samuel Johnson, Pope’s contemporary, pronounced
(SV error as explained above)B. his translation of the Illiad, a work that took him seven years to complete and that literary critic Samuel Johnson, Pope’s contemporary, pronounced
(Correct use of the verb "took" and "Pronounced". Both the verbs are connected correctly with "and")C. his translation of the Illiad, a work that had taken seven years to complete and that literary critic Samuel Johnson, Pope’s contemporary, pronounced it is
("Had taken" is incorrect tense. "Pronounced it is" is incorrect verb)D. translating the Illiad, a work that took seven years until completion and that literary critic Samuel Johnson, Pope’s contemporary, pronounced it as
("work" here now refers to Illiad instead of the "Translation". Also, the use of "it" is ambiguous)E. translating the Illiad, a work that had taken seven years to complete and literary critic Samuel Johnson, Pope’s contemporary, pronounced it
(same issue with "translating" as above. "Had taken" is wrong tense. Use of "it" again is ambiguous)