What's your question? Ask

Identification of the seedling will depend on the type of vegetable you planted. If you let us know what vegetables you planted, we can let you know what their seedlings look like.

Most are sown indoors anywhere from 4-6 weeks prior to the last frost date in your area.

The regular type will also work. If you haven't already read it, this article may also help: https://www.gardeningknowhow.com/garden-how-to/seeds/what-is-damping-off.htm

The suggestions in this article may help: https://www.gardeningknowhow.com/garden-how-to/seeds/preventing-white-fluffy-fungus-on-seed-starting-soil.htm

Just because it is cloudy, does not mean that your plants are not getting light. Outdoor light, even on a cloudy day, is far brighter than any lamp you could use. Grow lights are a good substitute when the temperatures outside will kill your plants or you don't have a window that is gets enough sunlight through it, but nothing beats sunlight in terms of providing the light plants need.

This is typically caused by a fungus. If you treat the seedlings with a fungicide, it should clear up. I personally like neem oil as a fungicide as it is organic.