you should downgrade to 5.2.17 to match the Apache setup.
those are two separate sites, you'd better compare Apache and litespeed on the same server by switching back and forth.
For the opera problem, I tried Opera 10.60 on linux, it is working fine. which version are you using?
Have you set LiteSpeed anti-DDoS setting? If the connection limit is set too low, it may block some browsers, some use too many concurrent connection when there are many small images on a page.