Caused by: java.lang.IllegalArgumentException: Cannot get property PropertyEnum{name=state, clazz=class appeng.block.networking.BlockController$ControllerBlockState, values=[offline, online, conflicted]} as it does not exist in ExtendedBlockState{block=appliedenergistics2:light_detector, properties=[facing, odd]}
at net.minecraft.block.state.BlockStateContainer$StateImplementation.func_177229_b(BlockStateContainer.java:201) ~[awu$a.class:?]
at appeng.tile.networking.TileController.updateMeta(TileController.java:129) ~[TileController.class:?]
at appeng.tile.networking.TileController.onPowerChange(TileController.java:191) ~[TileController.class:?]
It deffinitly seems like the main crash is cause by Applied Energistics.
I have had issues with AE2 in the past and have used a fork found here. I am not sure if it will fix your specific problem, but try looking for other forks, as they have helped me in the past when AE2 is being a butt.