Rushed, jumbled, and ultimately unsatisfying
Given his character conception, it's probably no surprise to anyone that Batman has fought his share vampires over the years, perhaps most notably Dracula in Batman & Dracula: Red Rain. In fact, the 4th villain Batman ever encountered, The Monk, was a vampire. Or was he? The problem is, these original Batman stories from Detective Comics were untitled. The title of this story, "Batman vs. The Vampire", wasn't assigned to it until much later. In the actual story, the writing is often confused; sometimes referring to The Monk, and his band as 'vampires', and at other times referring to them as 'werewolves'.
There are also a number of other terse passages and undeveloped plot points in this story which leads me to believe it was either rushed out, involved little communication between writer and artist, or lacked strong editing - probably all three. But if you read part 1 (and why wouldn't you? - that was a solid piece of work), you're going to want to read this second part. My recommendation is that you breeze through it to get the gist of it, without spending too much time on such an anti-climax.