I use it with sarcasm, like… My car broke down, lovely ！or now i need to clean the house, lovely

We use it similarly in Canada.

Yes, lovely is used in America. I use to describe my day or nice compliment to a woman.

Some people in the US say it, but I think it's more commonly used in UK English. It definitely exists in US English. Examples you might hear in the US: "What a lovely day!" "That dress looks lovely on you." Child: "Look mom! I found some worms in the dirt!" Mom: "Lovely..." (sacrcastically)