Treasurer is autopilot. I have the monthly DigitalOcean invoice on autopay so I literally don’t ever think about it. Ideally, periodically report on the money coming in via Patreon and Paypal, and the cumulative net balance either owed to or owed from the treasurer. For reasons discussed here, the current status is that I owe the site. (I haven’t updated the exact amount, but there haven’t been any paypal donations, so that means I owe the site roughly the $2,208 from January minus the 7 months of payments at ~$70 each.)
Edit: @CaffeineNeeded raises a really important point that I forgot about. The treasurer can see the history of all Patreon contributors, which in many cases includes names and emails.
Edit2: Also provide your name and personal information to Patreon if you ever hope to withdraw money to get reimbursed.
Admin is more complicated, particularly when people start raising concerns to the admin that users are violating terms of service and there are threats of lawsuits. Rather than giving you my subjective view of this, I’ll point to a relevant discussion from 2 years ago:
In short: the treasurer role needs someone who can be trusted to manage the funds and to keep all records completely confidential. The admin role ideally would have technical capabilities (I don’t) and also have the judgment to simultaneously let the mods do the moderator work while considering cases where users may be subject to violations of the terms of service. And also remember that the admin can read all unencrypted PMs, so again it’s a role that comes with a lot of trust.
That’s the best summary I can give on short notice, and I’d like to focus on work and family stuff for the rest of the day, but I can respond to more questions if they come up.