Can A Maine Lawyer File a Texas Malpractice Suit?

I see the statute of limitations in Maine for malpractice is 3 years..in Texas it is two. I broke my neck in Texas a little over 2 years ago and was treated as a malingerer and was not properly treated because they stated that they saw no issues after my initial CT scan even though I was unable to move for a period of time (long story). My new neurologist here in Maine read the first CT scan and clearly saw the break and spinal cord contusion. Had I been treated properly from the onset of my injury I would not have been left with so much residual issues and the pain they caused me for 3 days was unreal. No human should endure that because 3 doctors thought my pain was "weird" and failed to treat. My question is: Now that I live in Maine, can I use the 3 year statute or because the injury occurred in Texas it will remain 2 years? Also can I file civilly? These physicians should not be in practice at all!