Just thought I would add some information on the "Moving Day" HQ radio problem when leaving the vault.
I tried several times to see what works and breaks it.
If I leave the vault in 1st person, it never seems to work correctly. First the PC looks up slightly and I hear the radio click on and then looks to the left and slightly down. I get Jakes "Testing..." but I am unable to respond. I can go into 3rd person but that then quits the conversation and there seems to be no way to progress the quest.
Now, I cannot reliably replicate the next attempts as sometimes it works and sometimes it doesn't. If I leave in 3rd person but with a weapon drawn, the conversation starts as normal, but I am unable to respond to Jake. I noticed this while holding the 10mm pistol. I also noticed that when holding a lazer rifle it temporarily hides the response options as PC moves the rifle to his side, but the options do reappear almost immediately when the animation is complete. It's as if the hitbox is obscured by the rifle for a moment.
If I leave in 3rd person and no weapon drawn, the quest has progressed every time (I tried about 3-4 times).