Do I owe Georgia income taxes for 2015?

An accountant will be able to confirm but if your company has principal offices in Georgia I suspect your income will occur there.

Can my soon to be husband adopt my 2 boys without their biological father signing his rights away?

Not until you marry. Court won't recognize the boyfriend.

I encourage you to discuss with your attorney. If you did not have one you can always move and then rely upon your written notice as a defense.

Is there a Married Persons Tax credit that I qualify for on my 1040 tax return for the year my husband passed away?

Sorry for your loss. Without seeing your data it's difficult to reply. Sit with an account to prepare your return.

Yes. A misdemeanor is a crime. Before you pay hire an attorney in that jurisdiction.

What if spouse leaves apt &writes a letter saying they are vacating do they still have the right to reenter and/or take property

Yes. Hire counsel to address this and any other issue that will arise in the dispute.

Can this person do this?

Perhaps. Courts have some discretion but it seems that jurisdiction may have been lost if the trial was four years ago. Difficult to answer without...

Would I have an actual lawsuit worth anything? Would this constitute as a permanent injury from the appendix removal?

Difficult to determine without a complete review of your medical records. Obtain a copy and speak with an attorney.

Do I have a case for abandonment, personal injury lawsuit, or medical malpractice? Thank you for your time.

It does not sound like malpractice on its face but a thorough examination of your medical records will be required to make any determination.

What are the chances that my trial date will be rescheduled by the judge for the third time?

Other cases or the courts own personal life likely got in the way.