1. 'premium-1-day' is an autogenerated unique name which is needed for some payment providers like Stripe and Chargebee creating subscription plans. Common site members won't see it anywhere.
2. 'no button to click on to pay' - as I understood from previous message the paid levels in the app were created. May be payment provider itself wasn't completely configured. It's hard to say anything specifically without checking the site. But take a look at 'Site administrator' setting in Studio -> Payments app. This settings is significant in case of Paid Levels selling. If you provide me (via PM) with your UNA Studio access info I'll check it.