Yes and no.
Yes - this seems to be correct way of calculating energy of mole of photons (apparently sig figs are still way above your head; while I don't like them too much as they are faulty by design, I hate it when someones put all these random digits in the answer).
No - take a look at what you wrote:
7.604474058 * 10-19 J / 1000 J = 7.604474058 * 10-22 kJ * 6.022 * 1023 photons
Basically it means 1 = 6.022*1023
. This may seem like nitpicking, but doing things this way is a sure way of getting into troubles sooner or later.