I can't see very well from the pictures, but it really looks like cladophora in my opinion. (I consider clado much worse than BBA, so hopefully that's not it! :red_mouth)
You should check out this link and try to ID it:
http://www.theplantedtank.co.uk/algae.htm
If you
do have cladophora, then you can try the following:
Pull out all affected plant while siphoning the water, because this algae can easily break off in tiny pieces, so you don't want to miss a single one of them (It can grow back and it also thrives in the same conditions as your plants)
Hungry amano shrimps are a natural way to get rid of them too, but your fish might snack on them before they can do anything, so I don't know about this one
Another solution is to stop CO2/ferts and reduce photo period to stop its propagation.. But your plants will also be affected, so you might not want that