Explain how you feel that your time as a moderator will contribute to you becoming an admin:
Your explanation is good enough, But if I was you I would explain some scenario you have faced as moderator and what you have learned from those situations which can contribute to you being an admin.

Conclusion
Apart from what was mentioned above, your app is spot on, From what I've seen you are eager to do F1's but I've heard from other staff that sometimes you have to be "poked" to do f1's.

Either way I haven't seen you personally enough for me to make a detailed judgement so for now its a