Hi Yuna,
1. Yes the mobile pages won't work in IE, the mobile pages use the dojo javascript library, this uses a lot of the features of webkit and requires a browser that supports this, firefox, chrome and safari will all work. I would suggest chrome. (Note that most mobile phones support webkit and have for quite some time in the default browsers, so this is not an issue for a mobile device.)
2. Without seeing your code I'm not sure why your document is opening in edit mode, the dataview has a property "openDocAsReadOnly" or if your not using a dataview you could add "?action=openDocument" to the end of the URL.
3. I have not see your issue with duplicated save's, my suggestion would be to either take a look at the discussion or teamroom templates that ship with the ExtLib, these have been modified to add mobile support and are working examples you can deploy. Both templates use multiple dataviews that open documents in read only mode, you can edit a profile document and add new documents. You should be able to find a working example for all of your issues inside it. They both start with mobile.xsp with this page being split into custom controls, so they are quite easy to follow.
Hope this helps,
Any problems let me know.
Simon