The next time you are on a computer, go to your fastmail and export your contacts to your desktop in csv format.
Then, log in to your new Gmail account you created. While you are in Gmail you have the ability to import that csv file that has all your contacts.
As long as your tablet has this same Gmail account associated with it, you will see all of your contacts on your tablet under the app called "People" or "Contacts".
Remember that Android syncs your contacts with your Gmail account!
My prior email was probably too complicated for what you want to do. So, just try this method instead.
You can use K9 as your POP3 client. You can also use pretty much any email app that supports POP3.
Once you have your K9 set up, go ahead & compose a new email, in the "To" field, simply type the first few letters of the recipient's name or email address & you will see it populate for you to choose.
Once you get this down pat, and everything is working well, I would recommend you read my prior post again & associate your Fastmail account with your Gmail account. Then, you don't even need a 3rd party POP3 email app on your tablet. You can use the native Gmail app for your Fastmail.
Once you grasp this concept of what Gmail is and how it's designed to sync with multiple devices and email accounts, you will realize that you won't even need to log in to your fastmail account any longer.
Also, you'll see the benefits of putting your contacts into your Gmail account from now on instead of your Fastmail account.
I'm on an Android phone here, but I will share a screenshot here to help you understand how you can incorporate your normal POP3 with a Gmail account. I cropped out the top part of the screenshot to hide my Gmail address, but you can see that I am receiving emails from my Elks and Penshells (non Gmail) email accounts all within my Gmail account.
You can only start this type of integration by logging in to your Gmail on a regular computer and dig into your Gmail settings. All the instructions are there for you.
Sent from my Nexus S 4G using Tapatalk 2