Thank you. So, in the change of leadership there will always be a level of fear. People may not express it, they may not even know it's there but it'll happen because people don't like change. Change worries them. You had a really good point with what you said Beautiful. Be honest. Though, first it would be good to start with a thing called an Accusation Audit. I talk about it in my panel, but I'll breifly go over it here.
Before you address the community, sit down and think of any concerns they have about you. Think about them, and point them out. "I know some of you might think X" and then don't deny it. Then lay out your plans. If you think your plans might be too much to some people, if you think some people may not like some of your plans, again, say it yourself. "I'm going to seem harsh, but I'm going to start enforcing rules to bring activity back."
Then listen to your players. If anyone seems to be fighting the change, or shows concern about the change approach them and get to the root of their fears. find what their needs are, and figure out a way to fulfill them.