Your tank has a lot of aiptasia... I think a complete reset will be a good idea.
If I were in that case, this would be my plan:
1.- Get a used 20 gal tank or a plastic container that large.
2.- Take 2 or 3 large rock pieces and bleach them as previous posts described.
3.- Setup the 20gal or container with those pieces of rock and cycle it.
3a. - While cycling, take special care of current tank as you reduced your bio filtration. Be ready for emergency water changes if parameters goes wrong.
4.- When new setup completes cycle, transfer all your live stock from one tank to another., but gradually, not all at once. At least one week between each transfer. Check for parameters and be ready for water changes.
5.- Once all livestock has been transferred, bleach all remaining rocks and sand from your tank and clean glass and equipment with bleach and vinegar. Rinse everything very well.
6. - Setup again your tank with sand, rock and equipment and cycle it.
6a.- During this time, check your temporal tank as bioload could be large in relation to rock/bacteria population.
7.- Once cycled you can transfer your livestock again back to home, but again, not all at once as your tank will be newly cycled.
8.- During final livestock transfer you can also transfer rocks and shoot down your temporal setup.
Very important: As you may see during all process, never transfer any rock, sand or equipment from your current tank to your temporary tank without bleaching it before, if failing here, you may transfer your pests to your temporary tank and problem will not end.
To perform all this process you will need (maybe buy):
1.- Temporary container.
2.- A filter (could be a simple powerhead with some kind of mechanical filtration)
3.- Maybe a heater.
4.- Lots and lots of patience.
Happy reefing!