Hi guys this question has me baffled?

The ionisation constant of hypobromous acid, HBrO, is 2.06x10-9 at a temperature at which Kw is 1.2x10-14. Determine both the pH and the pOH of a 0.25 M solution of this acid at that temperature.
Also how can we tell if a reaction (at equilibrium) is endothermic or exothermic?
Also does my working out seem correct? (considering the fact that H+ & OH- are the same in water.
What is the value of Kw if the pH of a sample of pure water is 6.77? Is the temperature of this solution above or below 25oC?
pH = -log[H+]
6.77 = -log[H+]
[H+] = 1 times 10^ (-6.77)
[H+] = 1.6982 times 10^ (-7)
Since at the given pH for the given temperature water is neutral H+ = OH-, [OH-] =1.6982 times 10^ (-7).
Thus Kw= [H+] [OH-]
Kw= 1.6982 × 10^ (-7) times 1.6982 × 10^ (-7)
= 2.88388324 × 10^ (-14)