If you didn't customize your theme with controls on admin panel (except CSS editor), you can backup your theme in this way:
- copy ow_themes/my_theme/ folder
- copy ow_userfiles/themes/custom_mythemexxx.css file
- copy all graphic's files for your theme in ow_userfiles/themes/ folder
then upload theme's folder to ow_theme/, graphic's files to ow_userfile/themes/ and paste content of custom_mythemexxx.css file to your CSS editor in admin panel on new site.