None, besides the requirement that both "soon to be married" must be at least 18 years old.
http://www.canadainternational.gc.ca/mexico-mexique/consul/visas.aspx
New Mexico does not recognize common law marriage.
By getting married in Mexico.
New Mexico does not recognize common law marriage.
According to the World Tourism Organization 1,748,530 Canadian tourists visited Mexico during 2015, representing an increase of 9.3% from the previous year. Canadians are the second-largest group of international tourists reaching Mexico, after Americans.
Canon law was the body of rules and regulations governing religious practices such as marriage in Christian churches. It established guidelines for the sacrament of marriage, including requirements for validity and the process for annulment.
A valid marriage performed in Mexico is recognized in the United States as long as you have appropriate proof of said marriage. In Mexico there are two ceremonies, the religious and the civil marriage. Civil marriage is recognized in Mexico and worldwide, and requires that the couple provide the required documents such as birth certificate, blood tests, etc., at the time of the marriage.
Some Christian congregations have rules about marriage. If the marriage is done according to the rules of the religion, it is sacramental. All other marriages are non-sacramental.
There is no requirement to do so. Your marriage will be recognized.
12 rules for a happy marriage
Some of them do, just as many Americans, Canadians or Europeans do, for that matter.
Most likely not, different countries different rules. Likewise a Mexican state cannot over ride a record in the US.