Sadly, I think we just have to resign ourselves to the fact that K-9 is overtly intended to be a children's show and is pitching itself accordingly. If you're willing to do that, though, then there's some fun to be had here.
The first episode today, "Sirens of Ceres" (which, like "The Korven" and "The Eleventh Hour", technically aired before "The Beast Below"), is probably the better of the two just because it feels like it fits in with everything we've seen so far. Starkey and the rest are living in an oppressive system, and here we just get more evidence of this oppression, as Inspector Drake is his usual slimy self with his latest plan, to turn people into obedient servants with the help of an alien mineral. Connor Van Vuuren is often somewhat painfully overacting as Drake, as if he knows he's in a kid's show and is adjusting his performance accordingly; as a result, there are lots of clenched fists and intense emoting as his plan goes right or wrong (depending on the scene) that's sort of mesmerizing to watch.
But other than that, and allowing for the children's television factors, this is a decent episode. If they did more like this it wouldn't be a bad thing.
On the other hand, the second episode I watched today, "Fear Itself", borders on incoherency. There are moments where it seems to be about some sort of shadowy alien that exists to help breed fear in the populace, and others where it's just about conquering one's irrational fears, but it never feels like these two plot lines connect up in a meaningful way. It certainly doesn't help that we get people behaving out of character -- in particular, Drake seems oddly unfazed by the presence of Starkey, Jorjie, and Darius at the weird cupboard and far more concerned about the possibility of an alien inside the cupboard. But then it turns into a discussion about emotions and what they mean, as K-9 seeks to learn about fear and then somehow succumbs to it, and the resolution appears to be that there was nothing to be afraid of after all -- except for the impossible wardrobe with a huge pit inside in it (that's strangely reminiscent of parts of Mark Z. Danielewski's book House of Leaves, where an impossible dark space is found inside a house that seems to drive the people exploring it mad, despite the fact that there's nothing actually in that space. This is almost certainly coincidental, though). Oddly, this doesn't seem to remotely interest June Turner when she examines the wardrobe at Drake's request.
The resolution leaves things unclear: was there anything alien regarding the wardrobe? Was it causing the riots and things? Or was it really all in the mind? We never find out, and while it might be pleasing in a different context to have this ambiguity, here it just feels unfinished. A few more explanations (or even gestures towards explanation) would have helped, but as it is we have two storylines that are closely related but seem to be working at cross-purposes to each other and no clear way to resolve the conflict. The final result is thus something of a mess.