If the root stock is poncirus trifoliata, the chicken manure can be harmfull. If it is on a poncirus hybrid it still might be harmful. Check out what the rootstock is. If its P.T. don't use any animal products including urine in that list

Are you watering sufficiently to ensure that the root ball is getting plenty of water? Is the root ball sitting in hole that's too deep? I wonder if your trees need those stakes in order to hold them up....or can you remove or loosen them. Some sway is essential in building up a sturdy trunk.

Unfortunately I'm not sure what the root stock is, the tangerine tree I planted right by it the same way is doing just fine so that's why I'm a little confused, at least it looks like all the leaves are starting to regrow where they fell.

I downloaded the picture and magnified it 5X times. It appears that I can see the surface of the root ball, That is good. As far as root stock is concerned, that is probably not the problem. Any kind of movement shock can tend to cause the tree to lose leaves later. The tree may have received its shock while still at the nursery. See w=hat others have to say. the fact that it is putting out new growth is very good