Why αγαπά instead of αγαπάει?
To my knowledge both forms are used in Greece
As you have 11k xp in greek can you speak cursive greek now?
I don't know what you mean by "speak cursive greek..."
Why is it τα πουλιά here and not τον or στις?
"Πουλιά" is a neuter plural noun and the correct definite article is "τα". "Τον" is the definite article for masculine singular nouns in accusative case. "Στις" is at/in/to/on the for feminine plural nouns in accusative case.
Would the accusative also work here? Του παιδιού αγαπά τα πουλιά?
Του παιδιού is genitive. Neither genitive nor accusative can be used because for the subject of the sentence we always use the nominative case.
I don't think so.