MHC markers

[shuurai_uchiha]

What are the structural and functional differences between MHC I and MHC II markers?

[Gogo14]

This is from my understanding, can someone confirm/ correct?:
They are both glycoproteins, but they each have a different quaternary structure.
MHC 1 is present on all cells except RBCs to identify the cell as "human". This allows the cytotoxic T cell to check the cells and kill any that are non self
MHC 2 is only present on B cells and some phagocytes. These markers allow the helper T cells to bind to B cells to release cytokines for cell proliferation in response to an antigen.