The nullification crisis (precipitated by South Carolina, and defended by Calhoun) did not actually include nullification. Rather, the issue was settled by the Clay Compromise of 1833.
On the topic, one historian wrote: [Hayne's] speech [in favor of nullification] was answered by Mr. Webster in a vigorous constitutional argument, concerning whose power and effect we may quote from Mr. Madison: "It crushes `nullification,' and must hasten an abandonment of `secession.'
The Hayne-Webster debate may be read here.
I am unfamiliar with the other resolutions.
Actually it did. It passed the state legislature in 1832 Found here