Airtech if you haven't already, use the search feature at the top of the page and find the hundreds of my alphabet soup is better than your alphabet soup. Don't limit your search to these two, there are dozens and dozens of "agencies" that want to print a card for divers. There are standards that many American agencies agree to, and there are agencies that ignore the standards. There are instructors that teach the minimum, and there are instructors that exceed these guides.
Your information shows you have been certified by PADI, you are joined by a lot of other PADI divers, if that is your measure of an agency, you're OK to go. In different parts of the world, other agencies have other standards. . . your dive experience and log book may let you dive when you travel.
If you liked your instructor, try to dive with him more, and learn all you can, If you didn't like your instructor, take additional dives, or training with someone else. Whatever alphabet you choose. . . diving experience, lots of it, is the true value.
Your question makes it hard for us to give you a quick answer. Ask again if there is a specific we can answer. SSI split off from NASDS, then bought them years later, but both are older than PADI. . . and that doesn't mean a thing, when you're talking to an instructor in your home town.