Did you print, sign, and mail the Federal return? TurboTax does not mail it for you--you have to do it. Your TurboTax account will continue to say "Ready to mail" because it won't know if you actually mailed the return or not.
If you are due a Federal refund, it will take 4 weeks just to show up in this IRS "Where's My Refund" tool. Is anything showing up y
http://www.irs.gov/RefundsIf it still doesn't show up in that tool after 6 weeks, the IRS says you can phone them to check on it.
It normally takes about 6 weeks to get a Federal refund after mailing a paper return.
If you mailed the Federal return, then you have to file the State return by mail, too. You cannot efile the state return if the Federal return was mailed. The state return will also have to be printed, signed, and mailed. You said the site isn't allowing you to file the state return. It won't let you efile it, but you can mail it.
We can tell you how to file the state return by mail. Do you need to know how to print the state return and Filing Instructions?