in the spirit of teaching a man to fish (see my sig

...
I want you to learn not only the answer you seek here... but so much more. Skills to be able to help yourself and find discovery on many more interesting things along the way (in your journeys/endeavors... searches for information)
To that end... let me ask you to go to Google.com and tag the link that says "images" above the search field.
Then type in "red algae" for starters. Then browse the images to compare to yours... and perhaps take some genera names over to algaebase.org which is the definitive database for plants and algae.
These are very useful tools. Indeed, search tools on this site, Google, etc are treasures of info when you take the time to navigate them.
I see your algae genera early on the google image hits. Do tell us what you find and follow up with more questions if needed.
For even more info on plants and algae... seek any reference by the Littlers on seachallengers.com or Amazon. They have a small, cheap, old but fabulously informative issue on Caribbean/Atlantic species if yoru rock source was FL aquaculture (FWIW). The Littlers have Pacific species guides as well.
Bets of luck/life.