There are two versions of Construct 2.. 32 bit and 64 bit.. if either computer isn't compatible with the type you have that could be it.
I keep both 32bit and 64bit installs on my thumb drive along with my registration file. My work PC is 32bit. My home 64bit. When at work I can pop in thumb drive and run 32bit one and then load my capx.
However, you say you copied an existing install onto another PC? This alone could cause a hundred errors.. you need to install a fresh copy.