S.D.
Because your daughter spends more hours at the day care than at home (sorry but it's the truth and it hurts, I am in the same boat, working full time!!), you may have to adjust your schedule on the school. That's what we did. My daughter had a different schedule at home than day care and it wasn't fair to her to have her switch all the time so we adjusted our life on her. We now feed her at the same time as day care on teh week ends, no matter where we are or what we do and same for nap, same time every day.
Give it a try!! Not sleeping through the night, shouldn't have much to do with sleeping during the day, she is still small and mine didn't sleep through the night until she was 7 months old. She still wakes up around 6AM every day but is in bed at 7PM...
Good luck but listen to your daughter and see what works for her.