When one was not mechaven (had intention) by the first verse of K’rias Shema and realized that during the Amidah, may he interrupt to repeat it if otherwise the Z’man (Time for reciting) will pass? Or between Gaal Yisrael and the Amidah?

Horav Shlomo Miller’s Shlit’a opinion is that since he is distracted and not paying attention at what he is doing. it is likely that at least he had a bit of Kavana when he read the Shema, at least enough to create a doubt, therefore he should not repeat the Shema even on the situations quoted.