  Exotic correlated insulating phases emerge in the ABC-stacked trilayer
graphene-boron nitride Moire super-lattice at both quarter and half-filling. A
single-band minimal model with valley contrasting staggered-flux is proposed to
capture the relevant band structure, where the conspiracy of perfect
Fermi-surface nesting and van Hove singularity strongly enhance the valley
fluctuation, leading to inter-valley spiral (IVS) order at half filling. In
this paper, we consider a strong coupling U(1)$_{v}\times $SU(2)$_{s}$
symmetric spin-valley model to obtain the correlated insulating state and the
pairing instability near quarter filling. A significant ingredient in the
strong coupling model is the Dzyaloshinsky-Moriya like interaction inherited
from the flux, which breaks not only the valley SU(2)$_{v}$ symmetry but also
the sub-valley spatial reflection symmetry. We discuss all the possible
long-range orders stabilized by the effective spin-valley-exchange
interactions, and it turns out that the flux remarkably enhance the ferro-spin
inter-valley 120$^{\circ}$ order, which shares the same valley feature as the
IVS order. Upon doping, the leading pairing instability lies in the
inter-valley channel with a trigonally warped $p\pm ip$-wave form factor in the
presence of the sub-valley reflection symmetry breaking. Depending on the sign
of Hund's coupling, the total pairing state could be either spin singlet or
triplet. While the spin singlet chiral topological pairing state $(p\pm
ip)_{\uparrow\downarrow }-(p\pm ip)_{\downarrow \uparrow }$ is necessarily
chiral, the spin triplet topological pairing state could be chiral $(p\pm
ip)_{\uparrow\uparrow }+(p\pm ip)_{\downarrow \downarrow }$, or helical $(p\pm
ip)_{\uparrow \uparrow }+(p\mp ip)_{\downarrow \downarrow }$.
