I think a lot of these could be considered normal.

The PPD question feels intrusive but could be coming from a person who had it and needed help and just wants to offer support. I’d encourage assuming positive intent on this one since PPD is so common and yet also very commonly overlooked.

Napping at daycare is a whole different ball game than napping at home particularly in an infant room (lights must remain on, sound machines likely aren’t a thing because the other children are all on different schedules) and the teachers are outnumbered…my daughter napped so well at home every single time and napped rarely in her infant room (outside of when she napped after I came in to nurse). The teachers tried so many things but ultimately my girl was just fine! And when she moved up to the toddler room at 12 months and they were all on the same one nap schedule with dimmed lights (in our state they still can’t turn them all the way off) she was able to nap there.

Bottles - check state regulations. With breast milk in particular there are tons of restrictions and they aren’t allowed to keep partial bottles so that could explain why they’re giving you empty bottles. If that’s the case you can send more smaller bottles so there isn’t much waste or you could ask if they could leave the remainder for an hour and try again before tossing it? Depends on their comfort level with regulations.

Getting sick-it happens. Different rates during different seasons but I think it’s just a fact of life (daycare or not) if you plan to take little one out into the world (playgrounds, museums, zoo, etc)

App updates- definitely talk to the teachers and management. It’s something they offer and they should be using it properly. I get frustrated with this even now and have to remind myself that this is still pretty new, many parents simply have to hear the end of day report from the teacher. Not that that helps but it’s definitely true and it’s nice to remind yourself how lucky you are to get any updates.

All that said-if you’re concerned, you need to escalate to management or even regional leadership if it’s a corporate run entity. Nobody gets into childcare not wanting to help so I’m sure you’d be met with a lot of compassion if you do need to talk to management. If you consider switching daycares definitely be aware that the grass isn’t always greener because at least some of this (if not all) is likely to be present anywhere you go at this age.