I will attempt to answer your questions.
1. Between Andromeda and MW there is no expansion, but between MW and some very very remote Galaxy there is. The conclusion is that there should be a Galaxy of appropriate mass at appropriate distancedistance with which MW will be at no expansion, no contraction ?
First of all there is expansion of space between the MW and the Andromeda galaxy, just as there is expansion of space everywhere. You also mention that there is 'contraction' which is not correct. The Andromeda galaxy and the MW are moving towards each other due to gravity, space is not contracting.
The space between the Andromeda galaxy and the MW is expanding but the movement of the galaxies
through space due to the graviational attraction is greater than the expansion of space.
The idea that there could be 2 galaxies that have no relative distance change due to the expansion of space being exactly offset by a gravitational attraction sound perfectly feasible. This of course would be a temporary situation because any interation with another massive object will cause this equilibrium to fall apart.
2. Recession between galaxies is no work / force deal, if so FTL would be a problem, but gravitation contraction is.
I think you wrote this question wrong. I think you meant that FTL would not be a problem with expansion of space? If so that is correct since with the expansion of space the galaxies are NOT moving THROUGH space at a FTL speed. The gravitational attraction between 2 objects will never result in the objects exceeding the speed of light. Again, space is not contracting with gravitational attraction.
How do you neutralize such expansion with force contraction?
The expansion of space is about 67 (km/s)/Mpc, so if the movement of 2 bodies due to gravity exceeds that then they will 'neutralize' the expansion of space and move toward each other.
3. Hubble expansion formula has no gravity term?
Correct. The equation is only applicable to objects a very great distances. For distances where gravity can overcome the expansion of space (such as the MW and the Andromeda galaxy) the equation will not give the correct answer.
4. From whatever you have written, you see that given a distance x, the expansion should depend on the mass (due to gravity).
No that is not correct, the
expansion is independent of the masses. The mass is important for the
change in distance between the 2 masses when they are close enough that the gravity becomes significant relative to the constant expansion of space (I am neglecting the effect of dark energy from the discussion for clarity).
For example if I have two galaxies on either side of earth at very large distance x, the mass of one is m and the mass of other is few million times larger, then expansion should be different? This is not the theory.
You are correct that is not the theory - the expansion of space is independent of the masses.
Could you now supply the answers to the questions put to you?