The Chicago Manual of Style, sixteenth edition (2010) addresses the issue of indexing the names of "monarchs, popes, and the like" as follows:
16.37 Indexing monarchs, popes, and the like. Monarchs, popes, and others who are known by their official names, often including a roman numeral should be indexed under the official name. Identifying tags may be ...
You are well on the way. Since you ask I will add a few corrections.
To start I will say that you have Exchanged some emails with your boss. My basic advice is to say things as simply as you can. The more words you and your boss use the further they get from the goal.
I am sorry if I sounded as if I have problems with your advises [advice]
I think either version is acceptable and the meaning is clear. You don't need softly at the end.
"On the radio" instead of "Over the airwaves" either is correct, but Over the airwaves might be considered old fashioned, so if you were trying to invoke a retro atmosphere it could be more appropriate.
It is only the first movement of the Moonlight Sonata that ...