Married Filing Jointly vs Separately while living in different states

My wife just got a job in Wisconsin that starts Feb 2023. She will be working and living there full time, while I remain in NC with my (stipend) grad school program.

  1. What are the major pros/cons for us to filing jointly or separately when it comes time for 2023 taxes?
    1. If this effects the answer, her yearly salary (before tax) will be just over twice what mine is
  2. If we file jointly, will WI try to tax my NC income, and vice versa?
  3. Are we eligible to file jointly if her income and residency will be fully WI and my residency and income will be fully NC?

 

Thanks!