Once you get nitrate readings and simultaneously get zeros on nitrite and ammonia, you are essentially "cycled." Personally, I like to "test" the cycle by adding a little bit of food and testing over the next few days to make sure ammonia readings stay at zero.
I have a similarly sized tank (13.5 EVO) and also have the AI Prime 16HD and the Kraken lid. I love the lid, and I'm sure you will too. The Prime is great too, but lighting intensity depends entirely on what you plan on growing, your aquascape, and how high above the water you mount your light. On my EVO, the light is 8 inches above the water running an increased intensity version of Saxby. I have Acros and SPS in the top 1/3 of the tank and want a PAR range between 250-400 up there. I needed to lower the light and increase the intensity to get that. But if you are just doing softies and LPS with lower rockwork, the default Saxby (or even a reduced intensity version) should be perfectly fine. Based on your rockwork and light placement (looks like it's at least 11 or 12 inches above the water), I think you'd be fine with unmodified Saxby (but start with a 30 day acclimation at about 60%). When I ran unmodified at 10 inches above the water, I was getting 60 PAR at the bottom middle of the tank (less toward the corners), and only about 175 at the very top of the rockwork. There's not much in the softie/LPS world that couldn't deal with that range.