Could you please evaluate this email and answer some short questions?

Dear Users!

Could I ask you to have a look at the following email and give me a score from 1-10? If you feel there's something that sounds odd and non-native like, could you please let me know?

If someone had enough time to answer the questions that I've written below the e-mail, I'd be most obliged.

Dear Adam,


Thank you very much for such a quick and informative reply. Unfortunately, I have been offline for the past few days due to some health issues and I am going through new mail right now.



I would gladly apply for PGCEi and I would be very much interested in taking it this year (provided that someone resigned and a slot would open up) but there are two issues that might be hard to get around.


One - on your website it says that non-native speakers of English must provide IELTS test results. I am afraid it might be too late for that now.


Two - I am not sure if the required personal statement, which is part of the application, can be sent in the next few days or if it has to be sent today.


I realize that it is already the 21st of July, but if I could still send my application and be on the waiting list, that would be wonderful.


Hope to hear from you at your convenience.



Questions:


1) Is the opening sentence OK?

2) In this sentence: I am going through new mail right now I wanted to write It is only now that I have a chance to go through new mail but I wasn't sure if it was correct.

3) Is the following sentence right: provided that someone resigned and a slot would open up) but there are two issues that might be hard to get around.

4) Is this sentence OK: Two - I am not sure if the required personal statement, which is part of the application, can be sent in the next few days or if it has to be sent today.

5) Is it OK to end this letter with: Hope to hear from you at your convenience.



Thank you