This is a stress reaction based in fear. You need to make the thing you need him to do fun for him. Force will only increase oppositional reflex and fear. It is not stubborn behavior.
I often ask people who have dogs that are not doing what they want, "From the dog's perspective, why SHOULD the dog do this (and because you said so is not the answer)."
For the laundry room or crate I would take a look at this site. Again, the object is to make what you want the dog to do fun and pleasant for the dog.
Susan Garrett's "Crate Games" is for puppies, rescue dogs, adult dogs and dog sports. Extensively used and recommended by dog care professionals worldwide.
dogsthat.com
For going outside you can do similar things. As you head for the door, toss a bit of food (like a piece of kibble) in front of him to chase and get. As you open the door, toss the kibble in the other direction away from the door. Once the door is open toss the kibble toward the open door and then out the door. As he come back to you toss kibble behind you. Make going out fun and make it a non-event.
The object is to change the focus and to reduce the stress and make everything he does with you FUN.
It is also worth noting that at 10 months he may be going through a fear period. You don't want to exacerbate that.. so increase the fun and make all these things non events.
Good luck.