Regarding the tales themselves, they are not bad plot-wise but the presentation of the relationship between Holmes and Watson jars. This is a post-Reichenbach era, when Holmes is constantly alluding to possibility of retirement. The Watson we get here is ambivalent about his place as Holmes' colleague; he both feels undervalued and valueless. There's an intriguing hint in some of the stories that Watson has taken up with Holmes again more out of desperation and aimlessness after his wife's death, and that having moved on in the three years of Holmes' absence, neither he nor Holmes can slot back into life as it was before, but we don't get that developed enough.
I easily identified the Tolkien and Hornung references, yet they are curiously out of place: there's no reason, except as a private in-joke, to do things like calling an inn "The Prancing Pony". The Raffles references at least fit broadly into the context and timeframe. As for the sinister Chinese professor, I felt he was too much a cut-rate Dr. Fu-Manchu.
However, these are not the worst Holmes pastiches I've read, and if that sounds like damning with faint praise, I can say that if Mr Elliott cares to write a full-length novel exploring the changes when Holmes returns (both in him and Watson, and in the ending of the 19th century as the social and technological progress brings us ever closer to the First World War), the ambivalence and sense of displacement Watson feels when trying to recreate the 'glory days' by returning to Holmes and Baker Street, and the compromises and pragmatism, leading to cheating justice, that the British Government (as personified in Mycroft Holmes) carry out where political gain is concerned, then I would be very interested to read it.