Solution

37386

First name
Eleana Tsolacos
School
Sarum Hall School
Country
Age
7

The greatest number of counters I placed on the grid were 10:
4 on top row
2 on second row (on 1st and 3rd square)
2 on third row (on 3rd and 4th square)
2 on fourth row (on 2nd and 3rd square)