What's wrong with up to Sunday?
Nothing, added now.
Dziś has no declensions? Why?
I'd say it's an adverb, which functions as a noun in this sentence. And adverbs never inflect for case.
Is this some kind of a proverb?
Not any I'm familiar with.
From today till sunday (short for until)
It's listed as accepted.
From today until Sunday not accepted?