In the Silver Shroud quest, I acquired the armor for Kent, killed DeLancey and AJ. Now when I tune in to the radio with the armor on, it's just the Silver Shroud stories, no quest progression. It seems that there is another assignment from Kent to kill Kendra, but it just doesn't appear. Please help me with this.

Just asking to make sure - you did drop the calling card on the bodies and then listen to the radio to advance the quests?

yes, I did that.

Okay. Did you try talking to White Chapel Charlie in the Third Rail to see if it advances the quest?

Yes, I also completed his warehouse quest.

You also need to talk to him to find Kendra's location, but maybe there is no option for this until you hear it on the radio? I am just not sure, since the quest always worked for me (4 times, lol).

There doesn't seem to be. I've just tried