Can i get refunded for State Income Tax?

Yes, but you will have to file a Georgia State Tax return.

So I have paid 3 years of georgia state tax (close to $15,000) and want to know if i can get refunded for this since i have lived in Tennessee and worked from home the entire time.

My company does is a flooring contractor that installs flooring all over the country. i am the sales rep and i am based out of Tennessee and all of my work was conducted from my home office in Tennessee. the administration for our company comes out of Georgia. that is the only thing that is based in georgia for our company.

You will have to file an amended return for each year. However, Georgia has rules for nonresidents:

>>>. What are the filing requirements for a nonresident who works in Georgia and/or has other Georgia source income?

1. Nonresidents, who work in Georgia or receive income from Georgia sources and are required to file a Federal income tax return, are required to file a Georgia income tax return. Some examples of Georgia source income are wages, Georgia lottery winnings, income from flow through entities (s-corporations, partnerships, LLC’s, trusts, and estates), rents, etc. If you are a legal resident of another state, you are not required to file a Georgia income tax return if your only activity for financial gain or profit in Georgia consists of performing services in Georgia for an employer as an employee when the compensation for services performed does not exceed the lesser of five percent of the income received in all places during the taxable year or $5,000.<<<

It seems that the fact that your employer is a Georgia source of income is enough.