Only Irey does. The only one with a name similar to Jai is Jay Garrick, but he's not related to the silver age Flashes.
Isn't Iris adopted? Which means that the whole "from the future" thing doesn't affect her siblings (since they're her adoptive parents' real kids)?
Since when is Avery the love interest of Kong Kenan? Didn't he fancy the local reporter girl (a Lois expy) in New Super-Man? She's also no relation to Barry.
Hopefully they'll just give Barry his own second Flash book instead of ending Wally's.