Jim,
Thanks for the idea. I'm now using Alfresco 3.4e which I installed "early" just to see if it would help to solve my problem. Another reason I updated early without waiting for any problem reports is that I noticed that in Share with Chrome I have some minor problems, not serious at all. What happens is that if I want to move a document from a space to another I click on the check box to its left to select it but the option on top to the right that says "Selected Items" to let me move, copy, etc. the selection never enables. It works in Firefox though. So I really didn't have any browser that works 100%. The update (from 3.4d) went smoothly with no problems at all.
But the main problem was getting document upload to work with the other browsers. In my case the update to 3.4e solved the problem in spaces with rules and without rules. So I'm very satisfied with 3.4e!