EDIT: Thanks for the advice everyone! I told them as a precaution I wanted to wait for the backcheck to clear. I got a reply the next day from the HR manager that it had cleared so everything’s good now! Looks like I was making a fuss over nothing.
Original post: I sent in a signed offer letter and they returned the confirmation to me (signed on their end). The recruiter in the email asked “How did the resignation go?” (while CC-ing the HR manager).
However I haven’t resigned yet. The new job [EDIT: had me give permission for] a background check and I wanted to wait for it to clear before resigning. I pushed my start date to three weeks from now but when I asked how long the background check would take they didn’t answer (it was part of a larger email so they may have missed the question).
What do I say to the recruiter? Do I tell her I haven’t resigned yet? And do I ask again about how long the background check will take? I only have to give two weeks at my current job so I have one week of wiggle room but I don’t know how long the background check will actually take (the check mostly consisted of asking about school history and past addresses so I don’t think it’s that extensive).