*POSSIBLE SOLUTION TO VAULT 101 NOT OPENING AND NOT RECEIVING THE QUEST*
Alright for everyone who is having trouble getting back into vault 101 because the radio signal is not in the audio log anymore, i will try to explain how i did it as best i can, but i doubt this is full proof (Please post a comment if this works for you.)
I was out the front of Tenpenny Tower just after saving my game, and i went through all my audio logs that i haven't read, there was about five or six. Just to get rid of them i decided to click on them all so they weren't high-lighted anymore, because i did that their was a audio message playing when i decided to travel back to Vault 101 just to check if its open (It wasn't open all the other times i checked but i thought what the hell.)
And surprise, surprise its still glitched, So i got pissed off and started spamming the A button on the control panel next to the door and the door itself, then i would press the select button wait about 4 hours spam the control panel and door again then spam the radio signals "Vault 101 emergency frequency" and "Vault 101 PA system"
It did nothing the first 2-3 times so i kept pressing select and waiting 4 hours then spamming the control panel/door/radio signals. And all of a sudden i could listen to the Vault 101 emergency frequency signal again. Then I played the log and i got the quest the door opened after that.
I don't know if this will work for anyone else but i hope so, Tell me if it dose work for you please.
If you find this solution to be unhelpful, please tell me why in a comment and I will update it the next time I'm online.