How they should have handled the "New Captain America" thing...
One flaw in the show, was that you'd think the officials in charge would have had more sense about the "introducing the New Captain America" thing. Don't just announce him with fanfare and raise expectations for things that this guy will never be able to do, ease him into the role, or ease several people into the role! Do a stealth rollout first, have him or them do some heroic things and start rumors and speculative stories, see how he/they handles stressful situations, see what a regular human can accomplish with the shield, and see how the public responds, etc.
Because yes, "THEY", it would make more sense have a corps of guys who get a week-long shift with the shield or something than to just stick one guy with impossible expectations, let several team members get some time off to have a private life and recuperate from whatever injuries they've earned by being a normal human trying to do superhuman things, call them the "America Shield Corps" or whatever. That way, no one person would either crumble under the stress of trying to live up to Captain America's legacy, or develop a superhero-sized ego because they think they're a real superhero.
Yes, I know they started with the original Captain America by just making the announcement and using him for publicity, but he actually had superpowers! They couldn't, or shouldn't have done the same, when trying to replace a superhero with a non-enhanced human.