Hi pzurcher,
Those are quote varied questions and I'll answer the straightforward ones here but the bug issues I'll ask that you make new topics for. That way we don't try and work on multiple issues at the same time and get confused in what is being addressed.
For the 'Shop 2', if this is your page slug you can change that on the specific page just under the page title. You must delete any previous Shop pages *and* if you have one in your trash for pages.
You can change how the product image displays on the single page by changing the slideshow appearance in the meta box under the visual editor.
The product title gets repeated as the main page header and then under since there is often a large slideshow or sub section there.
To remove related products, you can Try adding the following CSS to your Quick CSS (located under the Styling Tab in the theme options) or the custom.css file in the css folder of your theme files:
.related.products {
display: none;
}
And for the product category information:
.summary .product_meta {
display: none;
}
Regards,
Devin