First photo--The hole for the check valves has a copper sealing washer inside it. The old washer is barely visible in the hole. Note its color. A new copper washer is supplied in the parts kit. The old washer has compressed to fit very tightly. There is no good way to remove it. I did not want to fill the passageways in my jack with copper shavings from digging it out in pieces. I decided simply to place the new washer on top of what is left of the old washer. (This photo was made before the plunger and the release valve were installed.)
Second photo--Install the parts in the order shown in this photo from step 8. (The release valve and the plunger are not shown in this photo.) Use the new balls from the parts kit. Do all of this inside a pan or shallow cardboard box so none of the balls are lost if one gets away from you. Tamp the parts down with a small screwdriver so they settle down as far as possible in their hole. Carefully start the screw plug with a screwdriver. It is easy to crossthread. Use the special screwdriver made from a hardened bolt to tighten the screw plug with a wrench.
Third photo--Install the parts shown in this photo from step 8. Drop the new ball into the hole. Insert the spring into the open end of the cap and drop both into the hole. Insert the screw plug. Carefully turn the screw plug until the valve assembly bottoms out. Back it off 1 3/4 turns.
I chose not to install the metal plugs that close the valve holes yet in case I would need to open one of the valves during testing of the jack to correct a problem.