Since they have horns you would want to tie a stick or something on their horns so they don't get stuck in the cattle panel. They could probably get out of the electric fence & the barbed wire fence.
Cheap Shelter- Zip tie 5 pallets together. 1 for the floor,1 for the roof, & 3 for the walls. Then find something to cover the holes with. Goats don't like the rain or the wind.