For all flint locks they get stripped down completely, the lock plate is leveled with either a file and/or abrasive paper, the sear is honed with MicroMesh, the lock is reassembled and I use TSI-321 to lube all moving parts. I usually replace the stock coil spring locks with an L&R RPL-05 leaf spring lock - faster, better built, more reliable, more durable.
As to the DST trigger assembly, I've only used the DST sets from L&R, usually a T5, don't know anything about the Davis triggers but I'll bet they're good ones.