I think I know the solution to this issue.
I think that your issue is with the phpMyAdmin that you are using. It is encounting a statement that it could not translate. So this cause it to give error #1044, where access is denied or did not recognize\see the database.
1) remove -- CREATE DATABASE IF NOT EXISTS <name of data base that you tried to import>; from the database.
Then save the revised copy.
2) You also need to edited Connection\localhost.php to reflect the actual database.
This is what you have -- it looks correct to me.
$hostname_localhost = "localhost";
$database_localhost = "bksol_adminbks";
$username_localhost = "bksol_beeky";
$password_localhost = "rara09winks63";
$localhost = mysql_pconnect($hostname_localhost, $username_localhost, $password_localhost) or trigger_error(mysql_error(),E_USER_ERROR);
All that you need is to do step 1 of my suggestion and you should be fine.
I hope that this helps.