Am I following up with recruiters too much? I'm worried they might talk

2 of them are old Amazon recruiters, 1 was a new one (from AWS side) that reached out to me for a role a couple weeks ago (that I ended up getting rejected from very shortly after). I sent 2 of the old recruiters an email last week (separate emails about different roles) and sent them a follow-up exactly a week later (this happened just yesterday). And then for the new AWS recruiter, after getting rejected for a role last week, I sent her an email today about an AWS role I applied to. I may send her a one-time only follow-up next week if she doesn't reply. Is this doing too much?