i was able to get the rim with both hands off a standing, flat footed vertical before. i struggle to broad jump over 7 ft though
does not compute. however, sounds like you've got something to work on. a 7' broad jump is woeful. i'm in the middle of the pack on here explosiveness-wise and my broad jump is over 9'.
let your knee guide you to what's safe, but i'd suggest starting with glute activation stuff like single-leg bridges, bridge holds, ISO BSS, x-band walks, and 4-way cable hip extensions. keep it light and high-rep, and focus hard on activating your butt. you can also do stuff like KB/DB swings, focusing on the hip snap, and RDLs.
i wouldn't do anything with high impact until my knee felt better, if i were you.