We are trying to help as much as we can (note that typically server issues are outside of the scope of our support but we're trying to help you get running!).
As a summary
Jim noted that these kind of errors:
Error: Class 'IPS\File' not found (0)
mean that the class couldn't be loaded, whether that's because the file is missing, the upload of it failed or PHP simply doesn't have permission to read the file.
You were able to re-upload the files and solve that issue. Great!
Then you experienced some further issues when trying to create a blog entry, some core PHP functions had been explicitly disabled by your web host, resulting in this error:
Error: Call to undefined function ctype_lower() (0)
We haven't said that your MySQL server has an issue, or needs any remedial work. I do not know where this assumption has come from.
Now that you've confirmed that second issue is fixed, hopefully you should be all set and able to set up your Blog.
If you have any further issues, please do let us know.