Note that this last photo is not a Skylark, but a Dusky Thrush. Skylarks would never perch in trees in this way, and also the markings (white supercilium, black mottling on underparts, etc.) is more well marked than a skylark.
It has been a good winter for Dusky Thrush, and it is perhaps more likely that this is the species you've been seeing at Nam Sang Wai, Middle Gap, etc.