[Alfredo Guzman]

what about the share holders names appearing in the company name? Is this only for new SRL's?

That requirement, or a form of it, is only applicable to partnerships (“sociedad en nombre colectivo”) and limited partnerships(“sociedadesencomandita”), which are barely used in the DR, as they lack the limited liability component found in SA's, SRL's and EIRL's.

EIRL's cannot have an individual's name, last name, nickname, or part of these, as the company's name, and by "individual" you should understand that of any physical person, including its owner's (Art. 454); SRL's are allowed to be named after one or more of its shareholders, but are not required to (Art.90).

I'm probably terribly out of date here, but what is the position vis-a-vis CporA companies? Same as SA?

i did not even realize that the CxA not been mentioned, Ginnie.
would assume that it is handled like the S.A.,

Under the old law, C por A's and SA's were practically the same legal entity. The old law allowed founders/shareholders to chose between "S.A." or " C. por A." when forming their new per share corporations, but legally they were (are) the same. The new law now requires that the names of all corporations formed under the "Sociedad Anonima" corporate structure are followed by " Sociedad Anonima" or " S.A." (Art. 155).