UVA only gives the legacy tip to alumni children applying from OOS. So the uncle and cousin won’t do anything for your kid, other than perhaps provide some material for a Why UVA? essay.
That SAT is pretty low for UVA OOS. When applying to UVA, you need to pay attention to the stats for the OOS pool (which differs materially from the stats for the IS pool and the overall pool). See link below.
In the last cycle, OOS was a 19% admit rate with a middle SAT range of 1430-1540. Once you back out all of the OOS legacy admits (which is a size-able piece of the OOS pool), the stats for non-legacies would be tougher/higher.
Last, UVA just started doing ED for this cycle. Hard to say how that is going to work for sure. But logic says that UVA ED is targeted at OOS applicants with good or better stats because ED is all about increasing yield. UVA has struggled to enroll the very high stat non-legacy OOS applicants it offers – because those kids will also be getting admitted to a lot of other very attractive selective schools.
So it might be worth considering applying to UVA ED if that is otherwise for your kid and family. Also might be worth thinking about trying to boost the SAT score.
Good luck.
http://uvaapplication.blogspot.com/2019/03/unofficial-admission-statistics-for-uva.html