This is daft. Family connections don't get you a job. At best it can get you an AC, but if you're not successful in the AC (there is a high chance you won't be), then what? Your family connection isn't going to be in the AC with you. Your family friend can't influence the hiring process, that befalls to the interviewers only, as at an AC you'll be interviewed by seniors who decide whether or not they want you on their desk. So what then? You'll be stuck with nothing. So what you got one AC from a family connection at JPM? What are you going to do if they reject you?
AC's have some 6-12 people in them. In every AC, they hire between 1-3 people or something. Chances are stacked against you at every opportunity. If you're serious about IB, you'd cast a wide net, because it's not about who you know, or how talented you are, it's a numbers game. And you'd be shooting yourself in the foot going to Liverpool.
Either get real and go to a better university or change your career prospects.
Source: Had an AC at JPM from a close connection, didn't get the internship, but went to a decent enough university to get interviews/ACs elsewhere and get an IBD internship