yes the only thing animal cells don't have is a cell wall, a large vacuole(with cell sap) and chloroplasts. In fact all plant, fungi, and bacteria cells have a cell wall! An example of an organism...
Yes, both kinds of cells have cell membranes, however, plant cells have another layer called the cell wall.
Both
In a plant there is: cell wallcell membranechloroplastcytoplasmnucleusvacuoleAnimal:Cell membranecytoplasmnucleusSo yeah
There is a cell membrane in both; however, plant cells have "walls" which are a little more rigid.