The templates are now crushed, so we have to host the script in HTML page as follows :
AP >> Modules >> HTML >> HTML pages management > Create new HTML page >
Title : banner_random >> No and No to the rest.
Copy-paste this script :

Spoiler:

Fields "image" 1 2 3 are to complete.

Now let's go in the templates > AP >> Desplay >> Templates >> General > overall_header_new and place before the tag "/head" the recall of script in the HTML page, like this :

Code:

<script language="javascript" src="script-html_page_url"></script>

Last step, in the same template search (Ctrl+F) for :

Code:

<!-- BEGIN switch_logo_center -->
                  <td align="center" width="100%" valign="middle">
                     <a href="{U_INDEX}"><img src="{LOGO}" id="i_logo" border="0" alt="{L_INDEX}" vspace="1" />

and replaced by :

Code:

<!-- BEGIN switch_logo_center -->
                  <td align="center" width="100%" valign="middle">
                     <a href="{U_INDEX}"><script language="javascript">banniere();</script>

> save > publish

In the AP >> Desplay >> Homepage >> Headers & Navigation > Page headers > Logo positioning :
Make sure that the logo is in the same place as in the template.