It's possible to make a wedding cake without a stand mixer, but I wouldn't recommend it. They can be expensive, so if you don't own one, try to borrow one. If this is your first wedding cake, you're going to need to buy some large cake pans. Cake pans in lots of sizes and shapes can be easily ordered online in sets. You may also want to buy a set of cake strips to help keep your cakes flat and level. Cake strips are soaked in ice water and wrapped around the outside of the cake pan to keep the outside from cooking faster than the middle. They're especially helpful for large cakes. A rotating turntable and frosting spatula will make it much easier to get frosting on smoothly. Piping bags and tips are useful for both filling and decoration, but if you're not piping decoration, you can simply snip off the corner of a Ziploc bag. Cake boards under each tier and plastic dowel rods are necessary to build a multi-tier cake that won't sink. Cake boxes can be useful for storing and transporting cake tiers. If you're using fresh flowers, plastic holders keep inedible flowers off your frosting. Buy parchment paper — so the cake won't stick to the pan, and plastic wrap — so it stays moist in the freezer or fridge after baking.
Once the marzipan is draped over the cake, gently pull down the sides to cover any gaps. Smooth the flat of your hand down the sides, pressing the marzipan to the cake and amoothing out any creases or overlaps, Rub the flat of your hand or a cake smoother over the top firmly to flatten and smooth the surface. Smooth out the sides in the same way. Trim off any excess marzipan around the bottom of the cake with a sharp knife and peel it off the board. This can be kept in an airtight bag or container for use next time.