YES. IMO, its a very fine engine oil grade, and quite suited for your ride.
Hmmmm... Well, you can.
(Officially prescribed oil viscosity for 1NR-FE. Source: https://toyota-club.net/files/faq/13-01-01_faq_nr-engine_eng.htm )
0w-20, 5w-20 and 5w-30, all seem fine for 1.3L Yaris.
For 2NR-FE, I could not find a direct reference, however, I am quite hopeful that these same 03 engine oil grades will suffice for 1.5L Yaris too.
So if I conclude, 0w-20, 5w-20 and 5w-30 all would suffice for both 1.3L and 1.5L Yaris.
I hope, it helps. Thank you.