for the problem with the headings of the featured product, about our store, and most popular heading, it looks like you have added an H! tag in the content management section, which is causing a nested H1, for exam[ple, viewing the source for your page, I see
<h1><h1>Apple of the Month</h1>
</h1>
in the Power Store admin section, edit the Featured Product -> Header, the Middle Pod -> Header, and the Most Popular -> Header content areas and remove the H1 tag, you may need to view source for this.
for the news section, edit the webassist/themes/Lush2/css/default_home.css file, change:
#contentWrapper .sidebar .news ul {
list-style:none;
}
to:
#contentWrapper .sidebar .news ul {
list-style:none;
margin-left: 0;
}