Please tell us the exact complete unedited word-for-word error message that you are getting.
Also, tell us the version number of your Lightroom (Help->System Info) and your operating system version.
In addition to DJ's questions,
What tutorials are you using?
When you "open the ZIP file", you are actually extracting the files out of the ZIP file and onto your hard drive, right?
What zip file anyway? The normal workflows for using Lightroom don't involve using zip files.
I think complete error message required to know the exact issue. What is the format of corrupt photos?