Yeah, gonna +1 here on what folks are saying about incorporating player backstories. Most people I know would love to have their PC history come up, it’s a great bit of collaboration and an excuse to get some great melodrama in.
There are only two big things I’d caution about, which amount to either retconning or resolving the PC backstory, which can seem like good ideas but can wind up upsetting players if they’re not handled carefully. (I’ve seen these more often in TT than online, but I think it still holds.)
Retconning is when you drop a big reveal that the PC only thought they knew what happened in their history and there’s some (usually dark) secret going on there. Ranging from your classic “Obi-Wan never told you what happened to your father” to full-on, like, “your history was actually a Total Recall implant by the bad guy and your life is a lie.” This can actually be really fun! But it’s a big change to the character going forward, and one that people might not appreciate implementing in RP. It’s not something I’d recommend doing without explicit permission from the player; even if it diminishes the impact of the big reveal, it’s just a huge risk unless you know how they’ll take it.
Resolution, meanwhile, can seem like it’s an unambiguously good thing but can actually wind up making a character unusable. The A-Team was sentenced by a military court for a crime they didn’t commit, so if someone offered them a pardon for a job they’d presumably be over the moon… and then if they got it they wouldn’t be the A-Team anymore, they’d just be Some Guys. If my character wants something they don’t have as a fundamental part of their character concept, getting it can be a great plot point that changes the character in an entertaining way that’s great to work through, but if it feels like it happens too fast or too easy it just winds up a letdown at best and makes the PC unplayable at worst. (“Oh, the banishment that forced my PC to leave their old lives behind and fall in with the game’s setting has been rescinded, and they’re free to leave the game and return to their comfortable happy life? I guess they… do… that, then.”)