About wether or not fast is broken or not

Asalamualikum i wanted to know if my fast is broken in the following two scenarios and if it is what i have to do. (Qadha etc) 1. I ate food at the last moment and once the minute of fajr set in i spit out what was in my mouth and rinsed my mouth but what was in my throat which was about a bite of food not that much but bigger than a chickpea i swallowed. Meaning it was already in my throat at that point i did not think really and just swallowed it. I didn’t know what else to do if i was supposed to vomit it out or something because i know deliberate vomiting breaks fast. 2. After farj i layed down and felt some food come up in my throat, it was not much nor did it come that high that it reached my mouth, but i swallowed it back without thinking. Is my fast broken Please help me as i am very worried about this. JazakAllah khair ahsanul jaza.