Why not using high frequency AC at homes?
Because interference is a problem anyway, having a higher transmission frequency makes the problem worse. Magnetic coupling is proportional to the rate of change of magnetic flux hence, eddy current induction into conducting objects increases proportionately with frequency. The formula for induced EMF and flux is: -

$$V = N\dfrac{d\Phi}{dt}$$

Where N, for a single wire transmission is 1.

Electric coupling is via capacitance to ground and, given that a capacitor decreases its impedance with frequency, this also becomes a greater problem. This is under-pinned in this equation: -

$$I = C\dfrac{dv}{dt}$$

If a higher frequency is chosen \$\dfrac{dv}{dt}\$ increases proportionately.

So EMI issues generally rise linearly with transmission frequency.

Another big problem is the efficiency of power transfer because, the decreased capacitive reactance causes higher reactive currents to ground and, this causes an added power loss in the cable giving rise to potentially some serious overheating of that cable. Lower frequencies are more efficient in power transfer. This is seen today in DC-to-DC links.

Also, skin effect makes the effective conductor cross sectional area smaller and, in turn, this means more cable resistance and higher transmission losses.