How do you know this? have you ever meassured the radius of curvature of the sun's trajectory? I say any measurement of this radius of cuvature will result in a straight line trajectory - but fear not some theory will produce an appropriate curve.
The distance of the solar system from the centre of the galaxy is well known from parallax measurements as is our orbital velocity. From this we can infer the radius of curvature of the orbit. Yes we cannot tell directly (as far as I know, perhaps some actual astronomer can correct me) that the orbit is elliptical because the orbit is so big and we haven't moved very far since we have been watching, but if it is straight as you suggest then you have to explain why the galaxy still exists and hasn't flown apart in the billions of years it has existed, and how it formed at all. Gravity explains all these things very nicely, although there are the dark matter issues. We might sort that out a bit at the LHC if we are lucky though.
How do you know this? You aren't going to BB us are you?
You don't need to assume a Big Bang to model large scale structure formation in the universe, but you do need expansion. Btw these models, when you include dark matter, match the observed large scale very well and constitute very strong evidence for the existence of dark matter.
maybe gravity is dominant on latge scales, but certainly no infinite scales. Infinite scales have a mathematical reality, perhaps, that is lacking in observational support.
Well of course we can't say anything about truly infinite scales, in fact GR from a cosmological perspective doesn't say gravity extends to infinity. It extends as far as it has had time to travel during the lifetime of the universe, it travels at the speed of light after all. Observation DOES however provide strong evidence that gravity dominates on the largest scales we can observe. There is some room here for corrections to gravity, but not huge corrections such as gravity having a range on the order of the solar system scale would require.
You are discussing theory only - some one taught you this - and on which your post is lacking in physical integration.
It is certainly not just theory. I will find a nice review article on the subject for you if you like, lets see.... ok this seems ok, 0809.3730, gives you all the historical evidence for GR and explains the current problems as well. The introduction should be manageable for you I think. Keep in mind that while the author questions the validity of GR at large scales he doing it in accordance with the evidence and is not denying that gravity is responsible for galaxy and large scale structure formation. He IS pointing out that we lack PRECISION tests, so we don't know quantitatively how well GR explains the observations. Qualitatively it is very good. Also keep in mind that the large scale structure simulations are based on linearised gravity - it is impossible to full GR simulations of these systems, they are way too complex and GR is hard. Nevertheless they still explain the structure very well when you include dark matter. Also, this is an active field of research so people are continuously inproving their simulations and arguing about the results.