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Ginger grown for flowers and ginger grown for their roots are two different varieties. The kind that produce fragrant blooms have a less flavorful root and the kind that is grown for its root has rather poor flowers. The grocery store variety will flower, but it will not be as pretty or fragrant as a a variety where they were bred for that.

This article will help you:https://www.gardeningknowhow.com/edible/herbs/ginger/growing-ginger.htm

Spacing should be at least 8 inches apart for newly planted rhizomes, but realize that they will spread, so you can give them more room to spread by planting them further apart.

I recommend neem oil. This will help control both pests and fungus on the plants.

Ginger will benefit from something a bit higher in phosphorous, as this will help with rhizome development.

Fertilize ginger once a month with a balanced (10-10-10) fertilizer. Weed growth can be hand pulled or you can use one of the following methods: https://www.gardeningknowhow.com/special/organic/homemade-pet-friendly-weed-killer.htm

These plants require well-drained, moist soil and plenty of sun.

It is sooty mold, which is often brought about by pests. Treat the plant with neem oil, which will take care of both the fungus and whatever pests may be causing it. Here is more information: https://www.gardeningknowhow.com/plant-problems/disease/how-to-get-rid-of-sooty-mold.htm
https://www.gardeningknowhow.com/plant-problems/pests/pesticides/neem-oil-uses.htm

Hand dig the area and then pour boiling water over the area. This should kill most of what is there. After that, keep a sharp eye out for any new growth and remove it as quickly as possible. The ginger will be weakened by the digging and water, so will die out quickly as long as you make sure it does not grow any new leaves.

Be aware that boiling water will kill any plant it comes in contact with so do not use this in an area that you have plants you want to keep. In areas like this, you can only hand dig the ginger out.