Can a person from Georgia sue a female North Carolina resident for criminal conversation or alienation of affection if the crime took place in Georgia?
No.
No
Criminal conversation is a common law tort where one spouse could sue a person who committed adultery with the other spouse for damages based on the alienation of affection and loss of fidelity the adulterous relation caused. Actual loss of affection did not have to be proved. Thes actions were later abolished in just about every state by laws called "Heart Balm Acts." New Jersey abolished criminal conversation as a tort in 1935. It also abolished the tort of "Seduction". Seduction is not a husband-wife tort. Seduction was a tort where a father could sue his unmarried daughter's seducer for damages he has suffered from the shame and humiliation of his daughter losing her virginity in such a scandalous and degrading way.
Since Florida is a right to work state I don't think you can ever sue your employer.
Yes
Can Florida use your out of State criminal records against you?
There are two reasons 'Alienation of Affection and criminal conversation which unfortunately have been abolished in the State of Texas. It is your husband that is the problem (he's out hunting for women) and you should legally go after him and not the woman.
A basic legal principal is that you can sue anyone for anything.
Sue Shifrin was born on April 16, 1949, in Miami, Florida, USA.
Mollie Sue was born on May 30, 1980, in Tampa, Florida, USA.
Unless you have committed an criminal offense, she can't sue you for any reason.