Rodney

Rodney came into the ER with a burn on his arm after a propane tank exploded.

History
Rodney's fiancé, Jim, was cooking using a chicken fryer when the propane tank exploded, severely injuring Rodney's father, Mike, and burning Rodney's arm. Mike was taken to the ER by ambulance and Rodney, Jim, and Rodney's sister, Pam, came in soon after to have Rodney's arm treated. Ben examined Rodney's arm and said he'd need to learn to replace the dressings while his burn healed. Jim agreed to learn how to do that.

While they waited to hear about Mike, Jim repeatedly offered to help, including offering to get food for Rodney and Pam when they didn't want to leave. However, Rodney, under pressure from Pam, told Jim to leave, saying that all he could think when he looked at Jim was that he almost killed his dad.

Later, when the heard that their dad was going to be okay, Rodney went to call Jim, because he said Jim loved Mike.

Romantic
He is engaged to Jim.

Familial
When their father was injured, his sister pressured him to break things off with Jim, whom she blamed for the accident.