Which sound device is present in lines three and four?
assonance, alliteration, onomatopoeia, end rhyme

The correct answer is:   [A]:

           " assonance " .

Note:  Lines 3 and 4 ;  as follows:

    " And many an eye has dance to see

      That banner in the sky ; "

Note that "assonance" refers to the "repetition of vowel sounds" ; that occur "with" words that are close by.

Note the following words that in "lines 3 and 4" that contain that;

in bold font; as follows:

    " And many an eye has dance to see

      That banner in the sky ; "

The presents of "repetition of [a] vowel sound" is quite evident within "lines 3 and 4" — as shown above.

{Note:  Try reading the lines aloud and notice 'vowel sounds' that are indicated bold font and underlined — as shown above.}.

"Alliteration" would be incorrect; since "alliteration" would refer to the present of the repetition of the same consonant sounds; or the same vowel sounds; at the beginning of the first syllables of, words that follow each other—as well as words that appear close together.  There is no evidence of this in "lines 3 and 4" of the given passage.  

We can rule out "end rhyme" ; since "see" and "sky" do not "rhyme" —nor do "dance to sea" and "in the sky"— which occur at the end of lines 3 and 4.

 We can rule out "onomatopoeia" — since there is no evidence of the use of words that sound like themselves (i.e. no evidence of words such as "rattle, jolt, murmur, gargle, buzz, chirp — within "lines 3 and 4."}.  

Hope this is helpful to you!

     Wishing you the best!

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yes, no, maybe, so i honestly don't know best of luck