On the iPhone app, you can create new cards using the app version 3.0. For past versions, the app only allows tracking sent cards and viewing received.
On the iPad app, you can create online and PAPER cards.
NOTE: You can edit drafts on the iPad that have been created on the full website. However, any inserts, logos/motifs, photo filters, custom stamps, custom postmarks, effects on the text (metallics, letterpress, engraved) will be lost when opened in the iPad app. It is highly recommended that you only edit drafts you created on the iPad, or you edit drafts on the computer for anything created on the computer.
You can only edit sent cards within the iPad app if they were created in the app. If they were created on the website, you can only edit them on the computer.