advice for uni options

Im in yr 12 and im thinking of applying to Cambridge for history, and ucl, qmul, Nottingham for law (dunno for 5th choice, maybe kcl???) I’m currently doing English lit, history, sociology and an EPQ. Problem is, I have mid grades (877766654, 5 is in maths but I’m retaking it to get a 6, 4 is in Spanish). I fit for a contextual offer and I think I’ll be able to get extenuating circumstances? if I get really good alevels, supercurriculars, LNAT etc wil I have a chance. I’ve seen people get into cambs for history with similar grades to mine but I’m not sure abt UCL