I would agree on position 1, but there are many different possibilities it were not true, such as if you were living in a simulation.
My point 2 was not supposed to mean that current theory was wrong as much as there (most likely will) be a more accurate better theory that will replace current ones. No-one disputes that (non-Microsoft) cell phones work. The problem lies on the philosophical side - Newtonian mechanics caused a big problem in that it was quite strongly suggestive of determinism. But more underlying theories, such as QM make the situation more difficult and complex. Assuming the current or fashionable theory of the time is correct is very likely to lead to a temporary or fashionable philosophy.
Position 3 - Science is an empirical study of reality - it cannot in any way explain why it is not some other reality, for example. If it is governed by logic/maths, unless every mathematical construct has physical existence (which is a rather weird and unrealistic idea), you cannot explain why this mathematical construct has existence and another does not. You may argue that other studies may be pointless, but you definitely cannot claim analytically and for certain that science can ever explain everything - so this is the point at which you are bringing in an unreasonable faith in this case. And science without study of philosophical implications is rather shallow and cannot give a reasonable mind satisfaction (not that philosophy is satisfying).