[eakwarp]

format(query,sizeof(query), "SELECT * FROM `accounts` WHERE `Name` = '%s' AND `Password` = '%s'", name,password);
mysql_query(query);
mysql_store_result();
if(mysql_fetch_row(result))
{
format(query,sizeof(query),"SELECT * FROM `accounts` WHERE `Name` = '%s'",name);
mysql_query(query);
mysql_store_result();

зачем два раза?