As long as you arent expecting him to pay for them or care for them I dont see why he should have a say, but if you live with him then you cant really get them if he is that unhappy about it (but you can persuade him).
Be aware though that the vet bills for these rabbits could be expensive and ongoing, and as they already have these problems insurance would class it as an exclusion. A runny eye could possibly point to snuffles or dental issues. If you can afford it though, you'd be giving these buns a chance at living happily and getting the right care, which many homes wouldnt have been able to, or wouldnt want to give them. These buns are unlikely to get many offers of homes, so if you can, and you want to, go for it!