Not sure if maybe you were just typing the password incorrectly for the admin, but i'm able to access our local test site from another computer on our network - using the same scenario you described:
changed configure.php files to reflect local ip (10.10.10.xx or 192.168.x.x or whatever). Then, from remote computer, navigate to
http://xx.xx.xx.xx/sitefolder or xx.xx.xx.xx/sitefolder/admin - both work fine for me. In you case, I suppose it would be
http://xx.xx.xx.xx/yourwebsite/store/admin.
I've experienced the css issue you describe when using localhost instead of ip, but never had issues accessing admin (on 1.39 and 1.50). Did you change both the /includes and the /admin/includes configure.php files?
ps - once you get this working, if your network uses dhcp instead of static ips, you'll lose access to the site if your ip changes, and need to update the configure files again. if this is a long term thing might want to give your computer a static ip to avoid that.
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