Laying too late as in how? As in laying at 12 weeks vs 6 weeks? That's no kind of positive indication of inbreeding, If I worked at it for a year I could breed coturnix to lay closer to 12 weeks than 8, it's a genetic trait not a sign of inbreeding. Honestly there is no way to look at your birds and know. Physical defects will happen in severely inbred birds but you'll see a drop in fertility and hatchability of the eggs long before. As long as there were no or at least few sibling pairing typically you won't see any issues in quail. Birds have different tolerance for inbreeding than a lot of species. For a quail to find another bird to mate that was in no way related to it, it would have to go on a crazy exodus every breeding season, so they don't, and they breed with birds they do have common ancestry with. Make sure you aren't making sibling pairings and try to avoid repetitively breeding offsrping x parent. In line breeding my birds I pushed the envelope a long ways and still never saw any physical defects.
Just curious why do you think your birds are inbred?