Sounds like you have everything, occasionally a box goes missing before it's sold. You'll need to find a warm sunny day, otherwise the soft top will be a pain to lock in place because it needs to be warm to stretch.
For the cart, depends on the size of the shed. Most of the carts allow you to store it vertically, with a raised bar so it stays straight and doesn't put stress on the window. Some people just sit it on 2x4s so it's off the ground a little, or on sawhorses to store stuff under it.
So lets wait for a warmer weekend then, I'm free up until after 4/6. The shed has double doors. I have 2x4's and saw horses. This gal has tools!