Moving with Children procedures and considerations

Good Morning all,

I am posting this to get a clarification on what's involved in moving to Malta with a 2yo child.

Situation: Unmarried Bulgarian woman and her child wish to relocate to Malta.

I am trying to dig in some information regarding the necessary documents and what is involved in the actual move to help them out.

From my understanding, the child would need to be registered as a dependent using Form: CEA Form F when the mother applies for residency.

Some other considerations I would like to clarify:

#1:
She is a single mother and planning to move alone here. Would she need any signed documents from the father, even though he is not moving here? CEA Form F seems to just necessitate a family member's signature.  Are there any other documents to consider?

#2:
With regards to school enrollment, is something specific required for the child, or once a residency card is issued for them, they can be simply enrolled?

#3:
Are there any other documents that might need to be looked at? Ones that might require the father's involvement? For example, I am aware Children's Allowance lists the father's signature on the form.

Thank you.