Some algorithms might be able to be written as formulas but generally no. An algorithm is a repetition of steps to achieve a desired result and does not have a fixed way of representing itself because it could make different decisions along the way in different situations.
A sorting algorithm is not a formula, for example. Formulas are mathematical or logical expressions that can be evaluated.
This almost certainly depends on where you are, I can reliably get normal prime shipping or even same and next day for 99% of non-specialty items
Not that Amazon making service worse for some is acceptable, but that it’s not universal