Our honeydew melons have a different tan colored skin with a raised rough surface. Is that the name on the package of seeds you bought, honeydew melon? Or is yours called a canary melon?
Generally speaking the melons as a group require a great deal of sun, warm temperatures and a lot of fertilizer. They are high maintenance, and probably not suited for your indoor grow setup. They also need room as they are typically large vines.
Outdoor sun can be 4000 lumen pretty easy. A bright store might be 200 lumen. Bright shade outdoors might be 400 lumen. You need to check your lights. That lumen light energy is a per square area measurment so you need to understand the full size of the large plant to buy enough lights. And then there is a cost of keeping it warm. The chemistry inside the plant is related to the heat. It might not die at lower temps but it wont grow well and an may not flower.
