how hard will it be to get a new lease?
Dunno. I've always paid my rent.
Won’t the other places know you have an eviction in your record?
Will they? Is that a thing? I've always just paid my rent and it's never been a problem. So I honestly don't know.
Easier to either show proof you already paid
That's the thing, as I said in the OP. Usually I get an email confirmation when I pay my rent. I didn't this time, which I thought was odd. What I didn't say in the OP is that payment hasn't been taken from my bank account.
or just pay the rent and late fees, then give notice, if possible?
I would much rather do that yes, but again, as I said in the OP, they deleted (or otherwise disabled) my resident account, and they don't take money order/physical payment, so it's literally impossible for me to pay my rent.