The second problem is because the new PHP has "magic_quotes_gpc" turned on. You need to ask your host how to turn it off. You may be able to add a line to your .htaccess file, or you may need to have a custom php.ini file in your /manager/ directory.
As far as the deprecated messages, if you go to the files and the line numbers indicated, you'll see something like this:
$object =& new MyObject();
You can just remove the &.
In PHP 4, a "new" object was created as a copy of the original object, so anything you did with it had no effect on the original. Adding the & caused it to create, not a copy, but a reference (or pointer) to the original, so that when you made changes it changed the actual original object.
http://www.php.net/manual/en/oop4.newref.php
PHP 5 now creates objects as identifiers that point to the actual object by default, so a "new" one would be a copy of the identifier, still pointing to the same object, and the & is no longer needed.
http://www.php.net/manual/en/language.oop5.references.php