You don't really need the algecide - chlorine is a very effective algecide. Copper comes with it's own set of troubles. Please don't pollute all that nice new water with that nasty old copper.

Start testing pH, FC, CC, and TA right away. With a plaster pool, you'll also need to know your CH.
How are you planning to add stabilizer to you new water? How much do you plan to add?