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It could be potato worms or nematodes that are feasting on your sweet potatoes. Here is more information: https://www.gardeningknowhow.com/edible/vegetables/potato/controlling-potato-tuberworms.htm

https://www.gardeningknowhow.com/edible/vegetables/potato/potato-eelworms-prevention.htm

This article will help with the holes in your yard: https://www.gardeningknowhow.com/lawn-care/lgen/lawn-and-garden-holes.htm

Take the potato out of the soil/sand when the slips protruding from it are at least 6 inches long. Then, grab the slip with two fingers near where it connects to the potato and twist in a clockwise motion while simultaneously pulling in the opposite direction of the potato. You are basically just breaking or pinching off the slips where they connect to the potato. The slip is then placed in a jar of water to root.

You plant the sweet potatoes about 2 in. deep in a box containing a mixture of peat moss and soil. So the amount of inches of mix and the depth of the box depends on how much is needed to cover the potatoes two inches.

Ornamental sweet potatoes and plain sweet potatoes are two different entities. You can grow your own ornamental sweet potato vines from either small rooted pieces from the eye buds of the tuber or by stem cuttings! Here is an article that will tell you how:

https://www.gardeningknowhow.com/edible/vegetables/sweet-potato/grow-sweet-potato-plant.htm

You can purchase tubers or plants for these specific varieties at your local garden store.

For more information on ornamental sweet potatoes, please visit the following link:
https://www.gardeningknowhow.com/edible/vegetables/sweet-potato/grow-sweet-potato-plant.htm

Sweet Potato Vine will not grab unto a trellis, but you could gently tie or use horticulture twists to attach it to a trellis is you wished to try it.
It is generally grown as an annual in patio pots or window boxes for a trailing effect in containers.

https://www.gardeningknowhow.com/edible/vegetables/sweet-potato/grow-sweet-potato-plant.htm