Classic Theme Home Page Alignment Issues Etc

[IceAge0121]

Hello, I'm having various issues, and I'm hoping someone will be able to help me out. I don't think these issues should be overly difficult to solve. Let me start with a screenshot: 

What I want to do is have the cart, and customer right aligned to match the search bar. I would also like the menu bar text to be centre aligned between the logo and search bar. Easy, I would think?

Here is one more screenshot showing my remaining issue: 

 

I would like to remove the entire white box that contains Product Details, as well as how many items are in stock. I have figured out how to remove the top line on the white box, including Product Details, but the bottom line with the "In Stock" text remains. How I accomplished this was commenting out the following code located in the file /public_html/themes/classic/templates/catalog/product.tpl:

<li class="nav-item">
                    <a
                      class="nav-link{if !$product.description} active{/if}"
                      data-toggle="tab"
                      href="#product-details"
                      role="tab"
                      aria-controls="product-details"
                      {if !$product.description} aria-selected="true"{/if}>{l s='Product Details' d='Shop.Theme.Catalog'}</a>
                  </li>

Thank you in advance. I really appreciate any help I can get on this!