Thicker barrier is better. I've done one crawl space for my daughter many years ago with regular 6 mil plastic and it was ok. I sealed the seams with red barrier tape (Tuck tape?) used to seal vapour barriers in home insulation. What you do on the walls depends on what the walls are made of. In my case, it was concrete (blocks), and moisture goes through that, so I had to seal the walls as well. To be safe, I would do the walls regardless to keep all moisture out. You have to seal all "holes" including pipes, duct work, etc. with the barrier tape.