yes, it is.
Yes, a baby eagle is an eaglet.
baby eagle
It can be called an eaglet or a fledgling.
There is no such thing as an eaglets nest it would be considered an eagles nest.
an eaglet
A chick when a nestling or an eaglet once it can leave the nest.
When an eaglet falls from the nest, it is often vulnerable and at risk of injury or predation, especially if it is too young to fly. Parent eagles may attempt to help the eaglet by bringing food or encouraging it to return to the nest. If the eaglet cannot be rescued and is too far from the nest, it may not survive without parental care. In some cases, wildlife rehabilitators may intervene to care for the fallen eaglet.
Eaglet
A eaglet!!
eaglet
an eaglet
About the size of a pigeon