The cloudiness does not look like algae - that will turn the water green.
It looks like dust from the sand, really. Even if you rinse it a lot, it can take up to a month to settle. The cloudiness won't hurt anything, including fish, so I wouldn't worry about it and just give it some time. The amount of sand used in a larger tank is a lot higher, so there it is a lot harder to get it really clean.
Driftwood will stain the water, but it usually won't make the water cloudy. Did you boil or soak the wood before putting it into the tank? Some types of wood will still have some sap in them, and as it seeps out a film (or in severe cases a thick coating) of bacteria slime forms on them. It is unsightly, but is completely harmless and will disappear as soon as the remaining sap has been consumed. (And as ugly as it can be, it is a good thing. Sap can harm fish, but it eats it all before it leeches into the water.)
I would just keep on cycling the tank and see how it looks in about a week. The slime on the filter was probably related to the plants and driftwood, and will go away naturally as things settle.
Do not use any chemicals unless it is absolutely necessary! They tend to screw things up more than fix them. Your tank needs to get itself in balance, and a dose of chemicals will set you back even if it "helps" in the short term. Once your plants start growing well, they will suck up the nutrients and cut down algae. Once there is no food source, bacteria will stop making films and slime. If the cloudiness is cycle related, then once the ammonia settles down there will be no bacteria bloom.
If you do decide to use chemicals, beware. Marimo IS algae. It isn't "moss" as it is sold as. It is a type of algae that grows in a ball. Algae killing products will kill it. I would also be careful about the lighting if you want to keep a healthy Marimo. They don't like strong lighting, and prefer to have low lights. The strong light that a planted tank requires may kill them, as it is like having direct sunlight.