Could this three moons system be stable? In my fictional world I have selected all parameters to maximize the Hills Sphere of my planet. The planet has three times Earth's mass and it is located in 2 AU from its star that's 1.4 times more massive than our Sun. I assume that there are more planets on the system but in such way to have minimum interaction with my planet.

I want to have three  moons on a 1:2:4 resonance. I also want:


the first one to be as large as our moon to the sky
the second 1.5 times larger
and the third, half our moon's size.


To achieve this I have assumed:


the first moon having 1.1 lunar radius,
the second 2.3
and the third 1.1.


Their orbits are 18, 36, 72 days.

I don't really care about their density and I assumed that their masses are


1 lunar mass (probably rocky)
3 lunar mass (water or ice world)
0.3 lunar mass (probably ice world)


 I guess that to be more stable i should have eccentricities smaller than 0.05 and inclination equal to zero.
 I am not sure about the spin of my moons, is there a chance being tidal locked?
This is my effort to achieve maximum stability of the system, what parameters should I reconsider to make it more stable? I am willing to change almost everything even the resonance, but I want them to be visible from my planet in similar way moon is to Earth.
Have in mind this question is about a fictional world for a fantasy story so even the minimum possibilities for that senario to happen is enough for me.
So any ideas?

P.S I have asked a similar question on worldbuild.stackexchange but they directed me also here for a better answer.
I see no reason why this wouldn't work.  The innermost Galilean moons are in a 1:2:4 resonance so it's clearly a stable orbital configuration.  They could all be tidally locked if you want, but the planet itself can't be tidally locked with all of them.  If the planet were tidally locked it would likely be locked with the innermost moon.  

Also of note, the Galilean moons all have eccentricity less than 0.01 and inclinations less than 0.5 degrees.