It is HIS new record. And if Richie wanted to call it HIS new record he could. If Dave wanted to call it HIS, he could... etc.
I call the school distict's test kits MY test kits, but they're not mine alone.
I call the dog MY dog, but it's really the family's dog.
If you used "OUR" about everything you ever had in conjunction with another human being, people might start to think you had split personalities.
Becky