will the battery,screen, ssd of early 2013 fit mid 2014 mb pro?

First the Early 2013 battery is likely too worn at this point (cycle count) and by its age the battery is just too old, now ten years old! You wouldn’t eat a donut that old would you? Then Apple loves it’s glue! More likely you would damage it in the process of taking it out. And lastly, this series battery is not the same as the Late 2013/2014 model.

The display is not much different! Apple altered a few things and as their suppliers also changed things to a newer interface standard the displays are not compatible either. This is the difference iDP and eDP standards.

On with the SSD, Apple uses their own interface and over time upgraded the interface and SSD. The original 2012 MacBook Pro used a custom mSATA drive Apple improved its performance a bit in the Early 2013 systems but it was still a mSATA drive! The Late 2013 models where the first PCIe Drive'd systems! So sadly this SSD really won’t work in your system besides it’s slow

So three for three! Nothing here to salvage into your newer system!

But, you can get a case to hold the SSD so you can transfer the data over or even use it as an external drive! OWC offers one.