[Misiur]

pawn Code:

INI_String(part2,Organization[i][Leader],50);
//Change to
INI_WriteString(part2,Organization[i][Leader],50);

Acutally your code looks messy. What do you need escaped quotes for?

pawn Code:

for(new i=1; i<OrgsCount+1; i++)
{
    new INI:File = INI_Open("orgs/org_leaders.ini");
    format(part2, sizeof(part2), "%d", i);
    
    INI_WriteString(part2, Organization[i][Leader], 50);
    INI_Close(File);
}