why 3/4" for the back? that will ad a lot of weight to the cabinet without any real benefit. the back is mostly there to resist racking forces (keeping it from becoming a parallelogram). 1/4" ply is more than sufficient for that, although it will feel a bit hollow at 48" wide. 1/2" backs will take care of that and make the case a lot easier to handle.
consider preloading the shelves when you glue them up. that is, glue them so that they have a crown or upward curve equal to the amount that they will sag once they are loaded.
4' is a pretty long span for plywood shelves. given that you are laminating 2 layers you will likely want to cover the edge anyway, so make the edges wider than the shelf thickness by another inch or so. it'll help avoid sag.some testing is in order.
if you determine that a preloaded shelf laminated from 2 layers of 1/2" BB is insufficient, a torsion box shelf or center pins may be in order. if you go torsion box, consider 1/2" for the top layer, a 3/4" web and
1/4" for the bottom.another approach would be to make the shelves fixed. then you could rabbet the shelves into the sides and pin it solidly to the back. you lose the adjustability, but you gain a lot of strength.
the pins are plenty strong. where you may have failure is the wood carcase that the pins are supported by. it's a lot of load on a 1/4" wide section of wood. once the load reaches the crush point of the wood fibers the hole elongates, the pin starts to shift, reducing the area it has in contact with the wood, increasing the point load and failure quickly follows.
the sleeves increase the load area, and if you glue them in they help resist shifting.