Looking into this structure this is a list of 2 sentence, with conjunction 'and' acting as the connector. The original sentence has to break as
One should have
cherish one's natural surroundings.
one's here indicate that something
belongs or relates to people in general, or
belongs or relates to themselves in particular.
Ask question cherish what? We know one's natural surroundings
But what about respect what? We don't know. Then, this should be
One should have
respect one's natural surroundings and
cherish one's natural surroundings.
This breaks the grammar of the sentence because of the usage of 'should have'.
So 'have respect for' is required to make the sentence parallel.
One should
have respect for one's natural surroundings and
cherish one's natural surroundings.
Since 'have respect for' and 'cherish' are parallel, we can move "one's natural surroundings" to the end and apply to both.
One should
one's natural surroundings.
A.
and cherish one'sNot parallel, as per the explanation above.
B.
for and cherish one'sCorrect, as it makes the list items parallel.C. for and cherish
hishis = limits the scope to masculine gender and breaks the meaning of original sentence.D. for and should
also cherish one's
Redundancy with also makes the sentence wordy.E. for and cherish
theirtheir usage is colloquial and not grammatically correct.Hence the correct answer choice is B