I am new to DMing. I am starting off with the Lost Mine of Phandelver adventure to get my feet wet.
One player in particular is playing a half-elf bard. They have watched a lot of Critical Role and are inspired by the stories that are created by those creative minds.
His approach to learning about the other characters is somewhat unorthodox. He will wait until they are chased down a mountain by a band of orcs and are hiding in the lowlands under cover of darkness to talk about his bedroll, and will go out of his way to ask the other characters what they think about his family crest that adorns the otherwise plain blue bedsheet that he keeps throughout his adventures. The other characters, recognizing the potential danger they are in, pay little mind to his antics, which actively frustrates the player of the half-elf bard, who feels as though it should evoke the other players to share their backstories.
It is somewhat irritating that he will forcibly ask the other players to provide an opinion on every little action his character takes, and he is a bit forceful about his way of getting the other characters to "open up". This makes for hilarious bits of dialog on occasion, and characterizes his half elf bard to an extent, but really slows the pacing of certain scenes down.
The other characters are role playing exceptionally in my opinion, despite all of us being new. As the DM, if I feel it's absolutely necessary that they give their opinion, I'll ask it of them. I feel it takes away from both my (as DM) and their (as players) agency that this one particular player continues to prod them for information, which I have vocalized.
The player on the other hand sees differently. He feels that there is only more story to be made if he knows more about the characters. He has even told me several times that it's my responsibility as a DM to prompt the characters to recount their lives to the other characters in the adventure. The other players, again, are role playing well, and I feel at the rate we are going everything will be revealed in time.
Aside from this bringing the scene to a grinding halt, which is irritating as a new DM, since I am only just getting familiar with the pacing of certain scenes to begin with, there is also an in-lore reason why the characters would not reveal this information. One of the other player characters is a Svirfneblin (deep gnome) Pact of the Tome Warlock. Deep Gnomes are known for keeping their private and business lives separate, and additionally live in secret societies in the Underdark. Beyond that, the Deep Gnome Warlock has a secret that she is keeping from the party, which is all the more reason for her to refuse outright to tell these newcomers her life's story.
If I were to describe the bulk of the party (if fact, everyone besides the half-elf bard) I would say that they keep to themselves and are wary of people who are asking too many questions.
The half-elf bard still wants to know more about these people he finds himself adventuring with, and continues to interrupt the pacing of various scenes by playing "temp DM" and coloring it like he's doing me a favor (he has never DM'd before either, he's just watched Critical Role). I've told him to stop, and while I could either put him on mute or kick him from the party, I feel as though I can at least improve his enjoyment for a couple of sessions and see if he improves his behaviour.
Is there any clean way out of this? The other players have rather obvious reasons why they aren't "opening up" and I would like to keep the story moving along. To be clear, I am fine with in character or out of character dialog between players. My question has specifically to do with one player interrupting the gameplay and spotlighting my other players for trivial background information (whole family tree, opinions on half elves, etc) and acting in the role of the DM.
Is there a clever way that I could throw him a bone? Maybe give him a lead to allow him to start asking questions about his party's life? A lot of the hooks I can think of at the moment relate to secret parts of the other characters' lore that they have a reason to be keeping secret. Can I come out clean from this without giving away the farm, so to speak? I want to empower my player characters to keep secrets from one another that allows us to build a strong narrative together, without burning one particular player out.