We need to sort out one or two issues here. Although you normally see the header on the start page before you view any other pages, you do not put your CSS on the start page. Put your custom CSS on its own page which you could call for example admin:themes. It will cascade to the other pages.
Atr the moment you've just put your CSS directly onto the page. It won't be read like that, you must wrap your CSS in a code block. So in the case of the code that is currently on your start page, cut it and paste it into admin:themes inside [[code type="css"]] and [[/code]] tags. You are, I think, basing your theme on the Basic theme, so add an@import rule as the first item in your code block followed by the CSS you have currently have on your start page, as shown below:
[[code type="css"]]
@import url(http://static.wikidot.com/v--ce652cbabb3f/common--theme/basic/css/style.css?0);
#header {
background-image:url(http://eastenclave.wikidot.com/local--files/home/EastEnclaveHead.gif);
background-position:left;
height:209px;
margin-top:20px;
padding-bottom:0px;
padding-top:0px;
}
h1 a {
background:url(http://eastenclave.wikidot.com/local--files/home/EastEnclaveHead.gif) no-repeat;
display:block;
filter:alpha(opacity=0); // for IE
height:85px;
margin-top:25px;
margin-left: -10px;
opacity: 0;
padding-bottom:0px;
padding-top:0px;
text-align:left;
text-indent: -9000px;
width:173px;
z-index:-100;
}
[[/code]]
Save the page.
Then on your start page delete the [[=image EastEnclaveHead.gif size="large"]] code that is in the line after the CSS. Unless you want the image twice it is not needed here because you are putting the image into the CSS.
Then in your admin:manage page go to Appearance -> Themes and in the _default category click on the radio button next to "Or use and external theme" and type in /local--code/admin:themes and save.
If you now do a refresh with ctrl+r you should see the theme applied. If you want to add any further CSS into your theme, just add it inside the codeblock and then save the admin:themes page and do a ctrl+r refresh to apply it.