Its funny how everyone uses the term laminated... The first time I had such a thing done, I said can you laminate this for me, and the women replied: "you know thats on wood right?"... But yeah, I had them plastified... I paid like 50 cents per card.
3) You asked about movement across a "Soft" corner (the outdoor walls): yes you can move diagonally across them. You can also stand in any square that has more than 3/4 of the square visible. So the diagonal walls that cover one corner of a square do not block that square from being used.