I have no experience with Chase but for the PRG I'd say you have very good odds. I recently got the Amex Gold with lower scores than you (690 Experian, 706 TU) and a LOT more late payments (none more recent than two years ago).
As always YMMV
I'd go with paying everything down to <8.99% util and in turn you'll get a higher score which may lead to a higher SL and lower APR. GL!
|FICO 8 SCORES: 06-04-2020||633 TU||656 EX||652 EQ|
get in with chase first before 5/24 time period (5 CCs / 24 years), then go for amex . You have good odds