no it does not have a web browser
As far as I can see, no. This is confirmed with other posts on the web (do a search for Sony BDPS1100 browser how to use). It seems that the models higher up in the range do have a browser.
It deos have YouTube and Facebook TV.
I have no idea. I bought it for my Mom and she doesn't have internet access. Works fine for watching Blu Rays and DVD's
Sorry I can't be any further help.