you can update the module manually, by extracting the module's contents to you hard drive, and then upload the files via ftp to SIH's directory in: (siteroot/modules/mod_sih) replacing the old files..
this should keep your existing copies of the module.
thanks for the review and top rating :)
You can try and use CSS auto option - current template (Find it in Server side COnfiguration under Config) - BlastChat tries to pick your CSS definitions automatically from your current template used, not always to perfect result. Or you can always adjust your current template CSS file or download existing CSS from our website and adjust those.