The vault is located on a blueprint as being in "Sub-Level 3." In Aliens the marines use a blueprint to locate the colonists as being in Sub-Level 3 of the atmosphere processor (which turns out to be the xenomorph nesting site).
The old computer room contains a sentient computer with a face, like the room with the Arnim Zola computer. The Winter Soldier directors, the Russo brothers, are Community executive producers, and Dany Pudi is in both.