at 13 weeks he should be out in the world seeing tons and learning soical skills.
you need to cover 100 places, people, things and sounds by the time he is 16 weeks old to have a proper soicalization on a dog.
as for teaching they can learn anything and everything right now but make sure it is safe for thier growing body. for example I would start agility with a yorkie this young but not a big dog that we need to safe guard the growing hips.
jl
__________________ "The truth about an animal is far more beautiful than all the myths woven about it." Konrad Loranz |