Your global diagram is excellent.
In question 3 we are given a local rule of Z being placed 7th.
On our initial global diagram, we could have taken note that only 2 possible variables could be placed first, either R or Z. The last variable could be any one of W, Y, S, or Q. Sometimes it can be beneficial to think about those things before heading into the questions.
After placing Z 7th, I know that Q must be 8th. I also reconstructed my global diagram into a more local one, it took about 5 seconds.
I came up with this:
I now also realize that of course R must be first. I noticed that in your post above you had Z going 7th but also as a possibility for going 1st, which of course is impossible as the variables are used exactly once.
This is how many diagram looked before I headed to the answer choices:
Answer choices for this could be true question:
A) No, R is 1st.
B) Not enough room for T to be 4th
C) Of course this could be true. W is a floater and could go anywhere in spots 2-6.
D) Not enough room for V to be 6th.
E) No, Q is 8th.