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This is normal if those leaves are not getting enough sun. I would only remove the yellowing leaves. After this, apply some dolomitic lime, and either some compost or some all purpose slow release fertilizer. This will help return it to its healthiest state.

It can be hard to tell, but it looks like a yellow anemone flower. Usually the cause for no blooms on these plants is over-fertilization, particularly, nitrogen.

If this is any soil that has a slow release nitrogen than this is the cause. You can supplement with phosphorus and potassium to help correct this, but they do best in poor soil.

This article will give you a little more information on their care: https://www.gardeningknowhow.com/ornamental/bulbs/anemone/anemone-windflower.htm

Anemone grow from tubers; planted in fall generally. Depending on your climate they will bloom from spring into early fall.
Foliage will die back as the tuber goes dormant.
This article has more information.
https://www.gardeningknowhow.com/ornamental/bulbs/anemone/anemone-windflower.htm

This can be very hard to control. Make sure to be aware of invasive species in your area. These will be best suited to containers, where they cannot spread.

This article will help: https://www.gardeningknowhow.com/plant-problems/weeds/controlling-rampant-plants-in-the-garden.htm

It is very easy to divide a clump of Japanese anemone. Since buds are already forming, I suggest dividing in early spring once growth starts. Since they spread by underground rhizomes, you may find a rogue plant a foot away from the others. This is easily dug out and replanted. If you do that now, you may sacrifice blooms this year but you'll have a head start on next year. If working on the main clump, use a spade to slice through the soil. Lift the plants and pull them apart with your hands. Replant immediately and water.

Absolutely! This article will give you more information: https://www.gardeningknowhow.com/ornamental/bulbs/anemone/japanese-anemone-care.htm