Which sentence correctly uses a colon?

i edited the article and found: comma splices, sentence fragments, and misplaced modifiers.

anna was happy: to go skiing with her sister.

talia decided that: she would accept admission into new york university over harvard university.

i made just one request for the camping trip: i wanted to stay in a cabin instead of a tent.

this is what they told me: because the apartment was too small, and cold for them.

beowulf sets out on his journey for daneland. -- 1

hrothgar welcomes beowulf. -- 2

beowulf waits for grendel to attack heorot. -- 3

beowulf succeeds in defeating grendel by tearing off his arm. -- 4

beowulf fights with grendel’s mother. -- 5

beowulf sets out for his fight with the dragon. -- 6

beowulf sets out for his geatish homeland. -- 7

rudy is the nazi ideal, unfortunately for the nazis his ideal comes in the form of jesse the complete opposite of those who embrace the idea of white supremacy. over the course of the novel, rudy learns that he wants nothing to do with the hitler youth, and because of this his parents are forced to make a bargain; rudy's father is forced into the military, so that his son can remain home.   both liesel and hans influence that young man that rudy becomes. following han's example, rudy puts aside his own hunger to risk his life so that the jewish prisoners might have bread to eat.