Synonym of 'making sense' in noun form

To me it sounds like you are informing about the reasonability of an application.

NOUN
The quality or capacity of being reasonable; reasonableness.

reasonable

ADJECTIVE
1 Having sound judgement; fair and sensible.
1.1 Based on good sense.

References:
https://en.oxforddictionaries.com/definition/reasonability https://en.oxforddictionaries.com/definition/reasonable

Appropriate, as an adjective, would work well. The question would be someting like "Given my severe claustrophobia would it be appropriate for me to apply for the position of darkroom technician?

Clarity

Clearness or lucidity as to perception or understanding; freedom from indistinctness or ambiguity.

So you could use it in the sentence as follows:

Could you kindly please assess the clarity of my application given the above circumstances?

Intelligibility

The quality or condition of being intelligible; capability of being understood. (Dictionary.com)

This is perhaps a word that fits exactly but sounds slightly verbose.

Could you kindly please assess the intelligibility of my application given the above circumstances?

Sounds to me like a job for applicability. Of course, that sounds a bit weird following up application, which might make a rephrasing sensible.

applicability [MASS NOUN] The quality of being relevant or appropriate.

the case has raised questions about the applicability of local laws to acts committed by foreigners outside the country

Secondly I suggest appropriateness.

appropriateness [MASS NOUN] The quality of being suitable or proper in the circumstances.

some staff members question the appropriateness of this practice