I'm pretty sure that the first one is some type of Caulerpa just because of the way it is growing out. From my own personal experiences with caulerpa, you should remove it while it is still localized. It is known to benefit the tank as a nutrient export (ie. phosphates), but it will eventually get out of hand and become overwhelm your tank. Additionally, it is very difficult to remove once it has spread that much because the roots get into rock crevices and can't really be removed.
The second one is a botton polyp, they are kinda similar ot zoos.
Hope this helps.
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Rory
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