A few questions that will role Veterans eyes!

[Atlaworks]

Hi! These are perfectly valid questions.

1: Your crafting classes are just as valid as your combat classes. As long as you have reached a point in the main story that you can change your class, you can unlock crafting and gathering classes at their respective guilds, just like combat classes. You can find the Blacksmith, Armorer, Culinarian, and Fisher's guilds around Limsa Lominsa. Take a look next time you're around!
2: You need to unlock the ability to ride mounts, like many things, by completing the Main Story quests up to a certain extent. I believe the quest for that is around level 20-25ish- you'll know when you're getting company seals to buy a chocobo. Once you can ride a chocobo, you can ride anything else you own too.
3: Not really. There's not much of a way to keep people from making gibberish for names, but the clerk at the adventurer's guild when you began did say there's a special circle of hell just for people like that. The easiest way really is to just manually put their name into player search- or at least, as much of it as you remember.