Hi José,
On 1.1:
I'm not sure I understand the reference to it working better in ArcMap when using WebADF on the client. When you start ArcMap (or "refresh version"), it gets (or should get) the latest data and allows you to work with this data in a session. When you save that or does anything else to refresh the data in ArcMap, ArcMap should have the latest data. This behavior should not be impacted if you have a second editor using Flex, JavaScript, ArcMap, or WebADF. It should only be a question about whether ArcMap has "asked" for the latest data.
On 1.2:
Sorry, I'm not sure what you mean here. Probably because I'm missing the underlying purpose or use case. Are you trying to add functionality to ArcMap or to your web client?
On 2:
There might be some bug hiding here but I'm not sure. Do you mean that after creating new vertices (to an existing feature) in your Flex application, then it doesn't show up in ArcMap? Is it reproducible (happening every time)? Has the changes been made to the server (i.e. check the Flex application in a different browser, like IE instead of Firefox just to make sure there is no browser cache issues)? If you restart ArcMap does it have the changes, or does ArcMap never see the changes?