The only way to do #1 is to copy the map image into a drawing or paint program and edit out the parts you don't want. Depending on what you need, you might try different map styles to minimize the amount of extraneous info you have to delete. (The Data style for example gets rid of lots of roads and other labels. But then they won't be there inside your territory either.)

Good luck--I don't know much about your second question, but there are lots of online icon repositories.