Hi KWP,
I wanted to join lbjnltx in giving you a big warm welcome to the site! Finding this place gave me so much wind in my sails and I hope you find the same kind of support and camaraderie many of us here have found. You are definitely not alone
It's sad when friends don't understand what we're going through. My son (now 13) talked about not wanting to live when he was 8, and honestly -- it took me a while to learn how to respond to him. :'( I think I have been insensitive too, not understanding the depth of emotional pain he was in, and how I could best respond to him. It's been a process, learning new skills and trying to understand what he needs and how it is different than my own assumptions. I didn't realize that telling him how much I loved him, and pointing out how good he had it was invalidating the pain he felt.
My son uses computer games to self-soothe too and I'm dreading the summer when he is too told for camp and too young for a job. He has no problem sitting in his room doing nothing. Or... .nothing is what I call it. His psychiatrist told me it might help if I asked him questions about what he is doing. He is allowed to play certain games that I approve of, but I never thought to talk to him about what he is doing. He actually becomes quite animated about what he's doing and likes to explain the strategies he uses. In the past I've tried to connect him with other kids his own age who get together and play online together in the same room -- the biggest group of nerds the world has ever seen

but he went through a severe depression last fall and we had to go back to the drawing board. And then, miracle of miracles, he decided to volunteer for theater tech at school and even though he tends to keep to himself, I'm so relieved that he is at least mixing around other kids and is part of something.
Like lbjnltx mentioned, small tasks can be a small victory. When I am very organized and motivated, I put together a list of things I ask him to help with, a minimum of 3 things a day. They are pretty small things, like washing the car. Every day he has to pick clothes up off his floor and open his blinds. His pediatrician recommended this to me -- she also suggested I get him a kitten

but we are already at our pet limit where we live.
How has your son responded to his BPD diagnosis? How does he respond when you ask him to do things around the house?