The hazels will come back and the second year they would be ready to produce nuts.
The goats, if put into the area of these trees, would browse them as is, in effect coppicing for you, the cows will do the same, just not as much.
This method would do great things for the soil in that area because of the manure and trampling that would occur.
If the chestnut has been nearly girdled (which it sounds like) it would be best to cut it down, leaving around 2-3 inches of stump.
The suckers
should come from this short trunk which makes it easier for future coppice or management of the new trunks.
Good chestnut trees produce their first nuts in the second year, occasionally the first year of planting, this is for year old transplants.
Chestnut wood is awesome for making things from, furniture,
spoons, buckets can all be made of chestnut wood.
Hazel wood is a nice smoking wood and it also makes good wooden
tools.
Redhawk