Looking at your screen shot I see I am looking at the same place you are. The only difference is my shows the network ID to be the same as the network. In otherwords, your network ID should be Arena if it is working like mine. One difference though, your type is gateway, mine is mesh. Could that make a difference?
Just to clarify, after rebooting my computer, Hamachi starts after I log in just fine. Which of course is no help at all. I need it to be working before logging in otherwise I can't get to it to log in. Is this what your batch file is suppose to fix? Or have I misunderstood.