You should think of this as a regular html edit. You should get it the display looking the way you want it first, then you can add in any links and the code to show the items and total.
You can change the register to be the MyAccount link and get rid of the others. Then craft your cart display the way you would like it. Where you would like to see the number of items in the cart or the total you will need to use the php cart code for this. Here is the code that you will use to display the number of items in the cart:
<?php echo $WA_Store_Cart->TotalColumn("Quantity"); ?>
For the total of the cart use this code:
<?php echo WA_eCart_DisplayMoney($WA_Store_Cart, $WA_Store_Cart->GrandTotal()); ?>
For the view cart and the checkout you should just add in links to these pages, the links would look like this:
<a href="cart.php">view cart</a>
If you just use the php code for the carts number of items and total the rest is just html and css. This code should work on any page, it just needs the eCart include at the top of the page to work.
You will need to make this update on your Templates > Main.dwt.php and on the index page as well.