解:(2)$\because (x - 6)(x - p) = x^2 - (6 + p)x + 6p = x^2 + mx + 36$
$\therefore 6p = 36,$解得$p = 6$
$\therefore m = -(6 + p) = -(6 + 6) = -12$
(3)$\because (x + p)(x + q) = x^2 + (p + q)x + pq = x^2 + mx + 16,$且$p,$$q$为正偶数
$\therefore pq = 16,$可能的$(p,q)$为$(2,8),$$(4,4),$$(8,2)$
$\therefore m = p + q = 2 + 8 = 10$或$4 + 4 = 8$