I wouldn’t invest money into the ligature in the first picture. It’s a Silverstein and will cost you a pretty penny. It’s a good ligature, but probably not worth it on bari for what you are looking for. A good old Rovner will be great. The Runyon Quantum has more punch and power than the Jag, but it’s also a neat piece.
Like ANY mouthpiece, put the air through it, and you’ll work your way into it. Don’t think it’s too much for you. Keep working at it and your tone will improve up and down the horn.