Alter_privs missing, now what?

I activated these modules:

Block translation
Content type translation
Internationalization
Menu translation
String translation
Synchronize translations
Taxonomy translation

And I got this reply:
-------------------- Below in green:
* Created string type:page:name for text group nodetype: Page
* Created string type:page:title for text group nodetype: Title
* Created string type:page:body for text group nodetype: Body
* Created string type:page:description for text group nodetype: A page, similar in form to a story, is a simple method for creating and displaying information that rarely changes, such as an "About us" section of a website. By default, a page entry does not allow visitor comments and is not featured on the site's initial home page.
* Created string type:story:name for text group nodetype: Story
* Created string type:story:title for text group nodetype: Title
* Created string type:story:body for text group nodetype: Body
* Created string type:story:description for text group nodetype: A story, similar in form to a page, is ideal for creating and displaying content that informs or engages website visitors. Press releases, site announcements, and informal blog-like entries may all be created with a story entry. By default, a story entry is automatically featured on the site's initial home page, and provides the ability to post comments.
* The configuration options have been saved.
-------------------------------- Below in red:
* user warning: ALTER command denied to user 'xxx'@'localhost' for table 'locales_target' query: ALTER TABLE locales_target ADD `status` INT NOT NULL DEFAULT 0 in /var/www/localhost/htdocs/drupal/includes/database.mysql-common.inc on line 298.
* user warning: ALTER command denied to user 'xxx'@'localhost' for table 'locales_source' query: ALTER TABLE locales_source ADD INDEX textgroup_location (textgroup(30), location) in /var/www/localhost/htdocs/drupal/includes/database.mysql-common.inc on line 434.
* user warning: ALTER command denied to user 'xxx'@'localhost' for table 'vocabulary' query: ALTER TABLE vocabulary ADD `language` VARCHAR(12) NOT NULL DEFAULT '' in /var/www/localhost/htdocs/drupal/includes/database.mysql-common.inc on line 298.
* user warning: ALTER command denied to user 'xxx'@'localhost' for table 'term_data' query: ALTER TABLE term_data ADD `language` VARCHAR(12) NOT NULL DEFAULT '' in /var/www/localhost/htdocs/drupal/includes/database.mysql-common.inc on line 298.
* user warning: ALTER command denied to user 'xxx'@'localhost' for table 'term_data' query: ALTER TABLE term_data ADD `trid` INT NOT NULL DEFAULT 0 in /var/www/localhost/htdocs/drupal/includes/database.mysql-common.inc on line 298.

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First, I would like to ask the following:
In what state is my database currently? If I execute the alter table commands, will "everything be ok"? Is there anything else that I should do, in order to not get problems with this module in the future because of the above?

Second, I'd like to suggest that alter privs are checked before the module is installed. Or that on denies, the module unrolls it's changes. But that's just my 2 cents :)
I'd like to use this module, and would be willing to put in some time if I can help out with fixing this, just let me know. I know php, but I'm very new to drupal.