Here is some comparison.
QUESTION 1.
(sample solution)

(my solution)
Since question 5 and 8 are so similar, I put the explanation in the top after '#' to reduce redundant words. (The idea comes from programming). Apart from that, I think my solution is identical with the sample solution. For question 7, my idea was if 'for all' (q2) is satisfied, then 'there exists'(q3) must be satisfied as well.
I couldn't see the flaw in my logic and that's what confused me the most.
QUESTION 2.
(sample solution)

(my solution)

Indeed, I should have stated the connection between Delta and Epsilon precisely as sample solution did. But if I choose Delta = Epsilon(for both of them greater than 1), the statement is also satisfied.
Sometimes, I find explanation is the hardest part in the exam or assignment. I have tried my best to express myself as precise and clear as I could but still lose marks for that.