Rotating assy balance

When I pulled the engine apart I stamped each rod and cap.
I am so on a budget here, New rods? They said the pistons would be destroyed if had to be changed. He did weld up the crank some and add a hole. When I put #8 cap on #5 rod it binds before it seats. I don't like it.
I thought the whole purpose of balancing was to get all the components to weigh the same before you made bob weights to balance the crank. This looks like it would shake apart and kill every bearing on cam break-in. But i'm naive. Still 13 grams between #3 journal and #4.
I guess I'm headed back to the machinist for some explanation, but, in my opinion, this is not right.View attachment 1715747234 View attachment 1715747235 View attachment 1715747236
on the first pic , that welded in weight is sure to let go one day not the right way to put in a weight , had a buddy have a slug of mallory let go on a 440 destroyed a piston and a cylinder . why not just buy a complete kit and be done with it . and find a new machinest while your at it