Can I apply for citizenship renewing my green card, which is expired, if so I will be able to use the receipt to apply for a driver license,

You may want to talk with an attorney to have a clear idea of your immigration options and whether the expiration of the green is a problem. Even if the green card itself is only the evidence of the legal status and what gives legal status, it would be better to discuss it with an attorney. That said, you get a driver's license you need at least two documents that prove your identity. If you apply for the renewal of your green card, that document, together with others, may allow you to get the license.