You can also check pinned blueprints in the "remote engineering" menu in starport services. However, you will only be able to view pinned blueprints for modules oy have installed. All ships have an FSD, so that's not a problem, but no all ships will have multicannons, for instance.
As for the pinned recipe, yes, you can engineer at any station (I can't recall ever weeing a station without remote engineering, YMMV, of course). However, I wouldn't waste
any resources on a 2C FSD. I'd only ever engineer an A-rated FSD or a D-rated FSD on a ship I never intended to fly between star systems and wanted the extra speed on through reduced weight, say in a combat or racing build on a fighter like the Viper Mk. III or Eagle.
if you have not maxed out your reputation with the engineer, remote workshopping will not increase your reputation with the engineer.
Additionally, when you have maxed out rank 5 with an engineer, your progress through lower rank mods takes fewer rolls; you can expect 1 roll at G1, for instance, so you should make sure you are at G5 with an engineer as quickly as is practical.