CoRoN 18-3-6 Plus 0.5 should be applied until run off. There is no reason to water in after application is complete. You should not apply when expecting rainfall/irrigate within 24 hrs following application.
T-Nex use rates lead to approximately 50% growth inhibition over a 4-week period. It can take a few weeks to see results after applying CoRoN 18-3-6 Plus 0.5%.
CoRoN 18-3-6 Plus 0.5 can be tank mixed with an herbicide such as Weed Impede. We would recommend mixing a small amount first in order to ensure there is no clumping. As far if a good winterizer that is going to vary depending on what nutrients are needed. We actually have a great guide that can explain how to select the best fertilizer for your lawn. You can find the guide here