NuWho has a very different energy from Classic Who, but when you get right down to it, two things have ALWAYS been true about this show: continuity has always been a bit patched-together along the way, and the writing has always been hit or miss, for varying reasons.
Regarding the continuity, the old series was making up continuity as it went, and sometimes (well, often) ignored things that had been said or done earlier. I always chalked it up to the Doctor's memory, which was patchy after a number of regenerations and, of course, the out-of-order life of a time traveler. The new series has a tighter continuity overall, but season-to-season continuity has been reduced greatly. Of course, when it was tighter, people complained about that, so really, what the heck can the writers do to appease the fans at this point?
Regarding the writing, NuWho tends to move a lot faster than Classic Who, sometimes TOO fast, and tosses out ideas and developments that sound great in the now, but don't hold up to much thought after the fact. Classic Who padded stories to fill set numbers of episodes, which resulted in entirely different kinds of pacing issues (namely, lulls in the forward thrust of the story). The show has never been perfect in the writing department, but honestly, I don't mind. It's still great entertainment.
I love Capaldi. He reminds me of what Colin Baker set out to do and was never able to finish: an echo of Hartnell's trajectory in the role. Hartnell went from cantankerous to grandfatherly; Colin tried to go from moody, vainglorious blowhard to professorial uncle, but didn't get time to do so on TV (thank the gods he got to finish the journey in the audio dramas). Capaldi has been following a trajectory, too; he has evolved a great deal, despite having few instincts toward niceness and relying on pre-prepared sentiments on cards to get it right (I love this touch). It's a development that echoes previous Doctors while being fresh and unique unto itself.
I'm not as excited by the show right now as I was during Matt Smith's tenure, but I still love it. I've been watching DW since I was a child. Not every era was to my liking, but I kept watching, and over time, I've learned to appreciate what each era managed to get right. Sometimes it took a while (I didn't enjoy many of Peter Davison's episodes until about 6 years ago), but it happened.