Q:

Planet half the size of earth with two moons. Livable? Climate Range?

This planet I am proposing is approximately half the size and mass of earth and has two moons. The moons are respectively 1/8th and 1/10th of the size of the planet.The moons orbit the planet at distances of 150,000 miles and 200,000 miles respectively. The planet orbits its sun-like star at a distance of 85 million miles.
What kind of climates would this planet experience? Could this planet be liveable and if not then what factors would need to change to make it liveable?

A:

I do not think such a system of moons would be stable.
A rough calculations :
$F_0$ = Force between inner moon and planet
$F_1$ = Force between moons at closest approach
$M_0$ = Mass of planet
$r$ = 50,000 miles
$$F_0 = \frac {GM_0^2}{8(3r)^2}=\frac {GM_0^2}{72r^2}$$
$$F_1 = \frac {GM_0^2}{(8)(10)r^2}=\frac {GM_0^2}{80r^2}$$
So the force from the planet is only slightly more than the force from the other moon.
The two moons would therefore distort each other's orbits significantly.  They'd almost certainly either end up in radically different orbits (highly eccentric ) or (more likely) collide with each other or even the planet.
It's hard to see how they could form in the first place.
So this system is not likely to exist in a stable way for long enough to develop and support life of any kind, IMO.
To fix this :
One small moon (say 1/200th the mass or less of the planet).
Probably even with this you'd need to remove that moon to a more distant position or have it at the stable Lagrangian points (see Trojans) to avoid an unstable small moon ending up colliding with the large moon or planet.  But that's not an option for large moons of similar size - they'd be unstable (not to mention the problem of how they'd end up there in the first place).

