No and no.
Again, the $29 battery replacement program is for out-of-warranty devices. An iPhone 8/8+ is still under warranty, so, ineligible.
https://support.apple.com/iphone/repair/battery-power
I fast charge once every day and my day one 8 is at 98%. That said, if OP is frequently running the battery down multiple times per day and fast charging multiple times a day and or heating up the device frequently (eg. really heavy use, sitting in a hot car), yes, the battery might be getting stressed more than most people. But since Apple supports USB-C charging on their devices, fast charge is a safe charging method.