They do produce literature - newspapers, magazines, posters, songs, plays, books, commentaries, and even films (Fill The Void being the pinacle), etc. But no, I don't think anyone would say this rivals the quantity and quality of the arts during the high point of Yiddish culture in the interwar period. Then again, who knows, maybe in the future they will?

They do, I'm thinking of certain Ultra Orthodox sects (not all, but Skver for example). Most of their literature is religious in nature (the plays of Sholem Aleichem would be anathema to them), and religious books are traditionally written in Hebrew (Tseno Ureno is a notable exception, but it seems the author intended it for those who aren't scholars).

But the point is that it is silly to talk about Yiddish being a dying language when it has so many native speakers with a very high birth rate (if I recall correctly approximately half the population are under the age of 18).