Can I get better at analysis and problem-solving?

Hi Melina - don't lose hope.  Being able to identify your areas  for improvement is half the battle!  Luckily for you, most engineering curriculum is focused around problem solving, even if not directly.  You are probably learning it and don't even realize.  Understanding mechanical machines is something I wasn't natural at either.  A lot of engineering students lack "hands-on" experience.  There are several places, some you mentioned, where you can get this mechanical machine problem solving.  I'd highly recommend an internship or co-op out in the industry as you complete your schooling.  These are typically paid experiences with a company learning exactly what you are asking about.  Collins Aerospace is one of many companies that offer these paid hands-on experiences.  Go to your college career center or search for open positions on employers websites.  I took a class in college in machine element design - gears, bearings, etc.  That can help with the analysis side of things if your school offers a similar course.  Another great university resources is in the student organizations.  Do you have a local ASME chapter?  Or Baja club, formula SAE, or other similar design team student org?  Some colleges offer credit for participation on these teams but most people participate on their own time.  And if none of this is available to you, then yes, pick up a hobby.  There may be some local volunteer opportunities or high school tutoring opportunities available.  You'd be surprised how much you will learn while mentoring others.  Whatever you chose, believe that you can do this.  These are skills you can learn even if they don't come naturally to you.  And in most cases the experience you gain will come with side benefits of a paycheck, networking, or making new friends.