W.S. Based on my personal experience with 1KR-FE, I would recommend 5w-30, API SN, Fully Synthetic Engine Oil. You can go for Total Quartz 9000 5w-30.
Get rid of 20w-50 ASAP and Avoid xw-40 or xw-50 oil grades. They are too thick for 1KR-FE (unless / until your car engine is consuming / burning oil).