Hi there,
Leadership can be shown in a variety of ways.... certainly some degree of leadership can come from a specific role managing others. It can be demonstrated via heading up a team, a project, an initiative, a hiring or training process. It can be less formalized, but still evident through, by example, coming up with and suggesting an initiative to your team or company or supervisor, that was then acted upon. It can often be various examples where you go above and beyond your standard job responsibilities. It could be mentoring others. It can also be shown outside the work place in extra curricular activities or the community. Lots of ideas to brainstorm about.
With regard to goals, it's most important that they make sense for YOU given your background, your story, and your interests. You should be able to clearly explain in a compelling way what your goals are, and how your past plus the MBA leads to those future goals. You should be able to make a case for needing the MBA to reach those goals. You want to be fairly specific if possible but also realistic. Ideally you've done your research on potential post-MBA roles and potentially your long term goals too and know how realistic or challenging it will be to reach those goals, and/or what you need to do to get there. Informational interviews can be useful for this purpose.
Demonstrating 'fit' with a school can also be through a variety of factors. Top priority might be that you show why THIS school more than others is most helpful for you and for your goals. You can and should show how well you know the program in your essays and interviews. And why you feel it's the best place for you! Classes and clubs can be part of that; often there are other factors that may even be more subjective that come into play... such as the values or student culture of a school; the feeling you get from speaking with a variety of current students and alum; experiences on campus; etc. The more you get to know a school the better you can showcase how well you can see yourself fitting in there.
In terms of your school list, a lot of that is personal preference... for better chances you may want to swap, and of course with a great GMAT as you go down the list selectivity-wise, your odds of scholarships can also go up a lot if that matters to you. But if you feel you'd regret not applying to specific schools and want to give it a shot I'd say go for it.... and factors such as your essays and recs and interviews can make a big impact! Particularly when your GMAT is already strong etc. You also need to think about your timing of apps and how many in total you want to apply to, and you need to consider each school on it's own-- ask yourself if I ONLY got into this school and no others, would I definitely go there? And don't apply anywhere that you can't confidently say 'yes'!
Good luck and if you'd like to chat with one of our consultants at any point, we do offer a free 30 minute consultation option, at
https://shop.mbamission.com/pages/free-consultation. And/or feel free to post here as well.