Know what a noun is?.. Noun is a person, place, or thing.
Let's split up the sentence and see what each word is..
Jason is a person (it's a noun)
asked is a verb
his is a pronoun (possessive)
mother is a person (it's a noun)
for is a preposition
more is a pronoun, determiner
vanilla is an adjective (a noun too)
ice cream is a thing (it's a noun)
with is a preposition
sprinkles are things (it's a noun)
So Jason, mother, vanilla, ice cream, and sprinkles are all nouns
Your second option is correct.
2) Jason, mother, ice cream, and sprinkles