Submitting documents by post for an online application

Hi, I have a query, which I hope someone will be able to answer. I'm applying for a PhD online, but I need to submit certain documents by post. I am thinking about attaching a covering letter which will explain in detail what documents I am submitting, but I am not sure about its form. If the documents are to be submitted to 'Secretary of Graduate Studies' (it's general for the whole university, not for a particular department, so I don't know their name and they're also not somebody involved in selection, but rather responsible for the distribution of the documents), is the following form okay:

Dear Secretary of Graduate Studies

APPLICATION FOR ...

I have recently submitted my online application for the following programme: ...
Please find attached the following documents which are required in order for my application to be processed:

- ...
- ...
- ...

Please do not hesitate to contact me if you require any more information.

Yours faithfully,

...

I would be very grateful for any feedback! Thanks a lot.

I don't see anything wrong with this format. It conveys the idea you want to convey quite clearly, which is one of the best things that can be said for any form of writing.