Hey we all had to learn at one time...it's a steep learning curve....why we are here to pass it along.
Don't be afraid to change things up if it's not working, I use screws to build everything so easier to change later, and ask questions if you have them.
Hardware cloth is not really that strong IF they can get a tooth into the mesh on a fold, bend or edge.
That's why it needs to be fastened securely with screws and washers at small intervals and/or have the edges covered in substantial wood trim.
Your chicken wire pen is actually not very secure, lots of predators can get thru chicken wire....
....and I'm surprised it held up under the snow load you probably had last year.
Great that your chooks will walk on snow! Mine do not.