Hi @harley79dannyWelcome to community!
I moved your message over to our subscription board to help keep things tidy. Happy to break down the different tiers of Pandora and features they offer.
Looking at your account, I see that you're on the free version of Pandora which is supported by advertisements. You can access stations designed to introduce you to new music through the artists and songs that you know. You can type in your favorite artist or song and Pandora will do the rest. Music that is similar to your musical tastes will play in your station. The ad supported version requires a device that has an active data connection.
With Pandora Plus, you get:
A Plus subscription is $4.99 USD monthly or $54.89 annually.*
With Pandora Premium, you can:
Premium is $9.99 USD monthly or $109.89 annually for individuals when purchased directly through Pandora.*
To circle around back to your questions: Playlists are available at the Premium level. With Premium you can create custom playlists.
Downloading offline content is available for Plus and Premium users. For Plus subscribers, 3 of your most listened to stations and your Thumbprint Radio will automatically be downloaded to your mobile device. Premium subscribers will receive the same offline feature as Plus, with the added benefit of downloading additional albums, songs, playlists and stations.
Hope this helps to clarify the features available to you. Let us know if you have any other questions.