- You should always proof if your fonts are embedded. If so, no problem should occur.
- You must not convert text in curves in InDesign. I repeat you must not do that as it causes huge problems in the design graphic as you will loose content. Never do that. The only one single purpose is to use text as graphic frames, that is what this function is made for. Nothing else.
- If the printer requires outlined fonts (as he should not do so), use Adobe Acrobat for that: Adobe Acrobat Pro > Print Production > Preflieght > PDF fixup > Convert text to outlines
The best, most robust, highest quality method, by far, of creating PDF from InDesign is to use InDesign's Export to PDF function (File > Export... > Adobe PDF (Print)). (Make sure that the option to embed fonts is selected.) If you do this, there will not be any need to convert a font to outlines.
The problem, of course, is that you are using Print Booklet to rearrange the pages into correct Booklet (saddle stitched) order; and Print Booklet, being a Print-dependent featurette, must use a print driver to create print-driver-ish PDF, and doesn't use any of InDesign's Export to PDF functionality.
But there is another way to convert your village parish magazine to Booklet order: use an InDesign booklet-making script. The script creates a new Booklet-order .indd file, which you can then Export to PDF directly. See, for example, the free script at "http://sterlingcomputing.com/make-booklet-2016.html". (I am the author.) With this approach, you don't use "Print Booklet", you don't use "Print", you don't use Distiller, and you won't need to convert anything to outline fonts.