Also find a way to get them into just the door handle and look smooth and clean so the covers won't be necessary and give a large light option where it's like it is without the cover and them a small light option about as much light as it has with the cover
Put some fine grit sand paper on that Dremel and smooth out the rough edges before installing the light it might not be very visible once the lights in but it's just a fine detail that can improve your design if you master making those people that can't or just don't want to will buy them start your own custom door handle business make something simple into some extra cash it's a great idea and you can just sell the lights with a pre made harness plug and play type deal
you ran the wires horribly. all of this will fail within a year or 2. you will be wishing you took the time and fed wires through grommets rather than exposed.