Hi Hackdog...
I do not know much but I think I have an idea why the parallel C12 and L4..
Looking at the image... The arrow (to the left of that base point). The only way to make this circuit oscillate is if that point (looking to the left) sees an inductor.
Due to the parallel C12 and L4, after a particular frequency, this combination becomes capacitive with increasing frequency.
So, the parallel C12 and L4 will be to suppress harmonics.
This is my reasoning, but not much I know about these things... Another beautiful thing will be the purpose of L1 ?