Yes you can. But of you going for more than 30 days you will have to get a New York driver license. Unless you are in the military.
Yes, seeing as Puerto Rico is part of the US
If you are not a US citizen, I'd advise taking your passport.
If you currently live in Texas, you are required to have a Texas Driver's license. If you do not live in Puerto Rico, you can not have a Puerto Rican Driver's license.
Yes. All US drivers licenses are valid in all US states, and Puerto Rico is part of the US
Be a resident of Puerto Rico. Have an American citizenship or be a legal resident of United States and territories.
A citizen of the USA does not need a passport to travel back and forth between the USA and Puerto Rico by air - only a legitimate photo ID (such as a drivers license). Reason: Puerto Rico is a US territory and considered as part of the USA when US citizens travel.
Yes. Any valid state issue I.D. is valid for enter and exti Puerto Rico.
In Puerto Rico
If you have a New Mexico driver's license you are already in the US and so do not need a passport to go to any other part of the US. Puerto Rico is part of the US for purposes of customs duties and travel requirements.
As long as you are traveling directly from Puerto Rico to NY, without stopping in any foreign countries - for example, elsewhere in the Caribbean or in Canada - you do not need a passport to travel. Puerto Rico is a US Commonwealth. Travel to or from Puerto Rico and/or the US Virgin Islands to the US mainland is travel within the United States and passports are not required. You will, however, need a government issued photo ID, such as a drivers license.
Since Puerto Rico is a US territory, all you need is a government issued ID such as a driver's license or birth certificate. Whatever you use to fly anywhere else in the US you can use to go to Puerto Rico
Residents of Puerto Rico can take the test to get their learners' permit at the age of 16. Three months later they may take the driver's test to get their driver's license. A person must have a learner's permit for three months (or a valid driver's license from another US State) to get a Puerto Rico driver's license.