Caps?

No they aren't. Unless there's an old one that Ты haven't gotten. I did randomly get one a few weeks назад but it was pretty much a fluke. Other than that I haven't seen a кепка, колпачок in years.

And Ты can still get Медали but earning them is a little weird. No one has really figured out how that works; I've contribute to the Музыка club regularly and have done so for years but still only have the yellow medal. I contribute a lot to certain клубы and don't have a medal at all but have received one for a club that I haven't even looked at in years.
So yeah, Ты can still earn Медали but who knows which one you'll be getting lol.

Only those from X years on Fanpop membership. If you're under 6 years here Ты might still get one of those caps.

Holiday, special caps, no but they still give out writer caps, Показ Любовь caps, expert caps, etc but that's about it. Медали are really hard to get, Ты just have to be patient and contribute as much as Ты can and wait. And wait...
Hope this helps :)