In the Music Box volleyball game, players can hit the ball

A. ball with their hands while they are on their side of the net, but they have to butt it with their heads to hit - non sensical
B. ball with their hands while it is on their side of the net, but they have to butt it with their heads to hit - Correct
C. ball using their hands while it is on their side of the net, but they have to butt them with their heads for hitting - Pronoun error
D. ball with their hands while it is on their side of the net, having to butt it with their heads to hit - awkward expression
E. ball with their hands while they are on their side of the net, but they have to butt those with their heads to hit - nonsensical & pronoun error.


IMO B.

In the Music Box volleyball game, players can hit the ball with their hands while they are on their side of the net, but they have to butt it with their heads to hit it over the net.
A. ball with their hands while they are on their side of the net, but they have to butt it with their heads to hit INCORRECT PRONOUN USE
B. ball with their hands while it is on their side of the net, but they have to butt it with their heads to hit CORRECT
C. ball using their hands while it is on their side of the net, but they have to butt them with their heads for hitting INCORRECT PRONOUN USE
D. ball with their hands while it is on their side of the net, having to butt it with their heads to hit AWKWARD
E. ball with their hands while they are on their side of the net, but they have to butt those with their heads to hit INCORRECT PRONOUN USE

B - correct

There is a clear change in meaning between A and B. A talks about players' position. B talks about the ball's position. Since no one knows about the game, players might position themselves on their side of the net, on the other side, or outside the field altogether.

I'd also like to state that the latter clause seems to talk more about how the ball has to be hit ("over the net") than about the ball's position itself (a ball cannot be positioned over the net), so I find no parallelism between this clause (....over the net) and the previous (on their side of the net).

EDIT: Also, even if A does the following:

There is nothing wrong in that. Both the clauses describe the game.

A. ball with their hands while they are on their side of the net, but they have to butt it with their heads to hit

B. ball with their hands while it is on their side of the net, but they have to butt it with their heads to hit Correct

C. ball using their hands while it is on their side of the net, but they have to butt them with their heads for hitting

D. ball with their hands while it is on their side of the net, having to butt it with their heads to hit

E. ball with their hands while they are on their side of the net, but they have to butt those with their heads to hit

A. ball with their hands while they are on their side of the net, but they have to butt it with their heads to hit --> 2nd "their" refers to ball which is wrong.
B. ball with their hands while it is on their side of the net, but they have to butt it with their heads to hit --> correct form.
C. ball using their hands while it is on their side of the net, but they have to butt them with their heads for hitting --> "using their hands" is awkward & "butt them" for ball is wrong
D. ball with their hands while it is on their side of the net, having to butt it with their heads to hit --> "having to butt.." is wrong
E. ball with their hands while they are on their side of the net, but they have to butt those with their heads to hit --> "they" and "those" incorrectly refers to the ball both times in this sentence

In the Music Box volleyball game, players can hit the ball with their hands while they are on their side of the net, but they have to butt it with their heads to hit it over the net.
A. ball with their hands while they are on their side of the net, but they have to butt it with their heads to hit--they is wrong
B. ball with their hands while it is on their side of the net, but they have to butt it with their heads to hit--correct
C. ball using their hands while it is on their side of the net, but they have to butt them with their heads for hitting---them is wrong
D. ball with their hands while it is on their side of the net, having to butt it with their heads to hit--having it butt--wrong
E. ball with their hands while they are on their side of the net, but they have to butt those with their heads to hit---they is wrong

"It is" is correct pronoun as "it" refers to ball, implies A , E out.
Now C out as them is used for ball, B uses but without and so wrong usage. Hence as per me Ans should be D here inspite of use of having.

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In the Music Box volleyball game, players can hit the ball with their hands while they are
on their side of the net, but they have to butt it with their heads to hit it over the net.
A. ball with their hands while they (the ball) are on their side of the net, but they have to butt it with their heads to hit
B. ball with their hands while it is on their side of the net, but they have to butt it with their heads to hit - CORRECT
C. ball using their hands while it is on their side of the net, but they have to butt them (the ball) with their heads for hitting
D. ball with their hands while it is on their side of the net, having to butt it with their heads to hit
E. ball with their hands while they (the ball) are on their side of the net, but they have to butt those (the ball) with their heads to hit
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