Can I use my familiar from the Find Familiar spell as a safety deposit box?

The Find Familiar spell states, in part:

As an action, you can temporarily dismiss your familiar. It disappears into a pocket dimension where it awaits your summons.

The question arising from this is:

  1. Is this pocket dimension different for every familiar in the world? Thus being a personal pocket dimension?
  2. If this is true, then it should be able to store items given by its master for safe keeping away from anyone else, as long as these are items that a familiar could carry with it. Can the familiar bring small items with it into the pocket dimension for safe keeping?