I had a Axim X5, and is using Active Sync 3.5 with Outlook for home use.
At work, using Lotus Notes 6.

I want to sync Lotus Notes -E-mail, Calender, Task, Notes with my PDA, but apparently u/stand that ActiveSync cant do that.

Avaliable are third party sync sw : IBM's EasySync and Commontime's mNotes, which I have to pay.

Is there any "free" Sync sw out there, that can do the task ?

none that i know, unfortunately. i am in the same boat as you.