DT Register does not currently have frontend event administration at all, like is the case with other event registration components. However, we'll be releasing a new version 2.7 in another week or so that adds this ability where frontend users can create events and do other things based on permissions given. It will not have a tie-in to JomSocial groups, but that is something we could look into developing once 2.7 is on the table. Thanks.