How can I construct a Band-pass filter from a low and a high-pass filter?
Yes you are correct. You apply them if series in they are linear.

One simple band-pass filter you could use is called the difference of Gaussian (DoG)

The procedure is: 


Create a Gaussian filter with a small variance
Create a Gaussian filter with a large variance
Subtract the latter from the former to create a band-pass filter
Apply the filter to the image


There are a lot of different filters to choose from depending on the application. A good paper is "On the choice of band-pass quadrature filters" by Boukerroui, Noble and Brady. It has an analysis of the DoG filter as well.