I think it would be, The First one, Yearn Because yearn is used in present tense as the word durning can be, while yearned and did yearn is past tense, and will yearn is something to be done in the future. The sentence seems like it is set in the present so, Yearn would be my best bet :)
1. my friend treats me with respect and is caring. 2. We help each-other when we are in need of assistance. 3. Me and my friend tell each-other funny jokes and relate to each-other.