"Come with me" refers to another person whom they understand to have sustained similar damage. They tell him that he is not alone, that they understand how the other person feels. That they know how to get through this emotional breakdown together. This verse is like showing them a way out through unity. Despite all the damage, they still need someone by their side.
There is this saying that happiness becomes double when you share it with someone and sadness splits in half.

The music gives you the feeling of something malfunctioning, a soul most likely that is lost. This song is likely to describe how a person responds and copes with setbacks in their life. Something devastating happens to them and they get emotionally damaged. "Life" has brought them down violently and they feel like all hope is gone. A person who has fallen face down has in most cases sustained heavy damage. The verse saying "My face against the floor" emphasizes that. However, they know that once you reach the bottom there is no other way than up and they have to get back up and not let this (fucking) world tear them up.

With the "I don't want to get back up, but I have to" indicates that they will get back up thus, the damage will heal one way or another. The mental situation they are makes them think no one has endured such pain and knowing that no one can understand this pain frustrates them even further. But then there's that other verse below.

The first two verses inform us that this song is for the "dead". This is (obviously) a metaphor. It is a song for those who have been through hard times and were driven to the edge, scarring them permanently. They're still alive physically, but they are dead inside.