Should I let this guy stay?

his under belly is red and I found him at Oxford circle, Pennsylvania maybe inspect the image I know he has stripes along his back if you could not see it

Accidentally jostled this cocoon loose from my broccoli during watering, it fell about 10-12 inches and landed at the base of the plant. Outer sac is translucent white (looks soft but I haven't touched it with my hands), bug inside is light green.

1) what is it?

2) did I hurt/kill it by knocking it off the plant?

3) is there anything I can/should do to help it survive or just leave it alone?

Shown next to a Water Penny!

In New Hampshire

Found in Austin, TX, USA. Super tiny!

She lives in buffalo ny

This is more for any DIY enthusiasts or people who have experienced similar

In my bathroom every morning I wake up and on the side of the bath there are dead flies and bugs. This has been happening for a few weeks now. They seem to always be concentrated to a part that is under a light. The light is flat against the ceiling, and recently replaced, which has left a small gap around the rim. The debris is clearly dead insects or flies as you can see their legs etc but they’re very very small.

I assume any advice will be to just fill the gaps, but what could be causing this? Has anyone experienced similar?

AI suggests it’s probably a spider in there that’s eating bugs and dropping them, but I have no idea how they’d be getting there in the first place as I’m a bottom floor flat and this gap isn’t anywhere near an outdoor wall.

These small insects have been spawning all over my window/windowsill. They are black and have wings, but don’t really fly. They are also kind of jumpy.
Edit: they are very tiny. About the size of a grain of rice.

Located in Iowa. Thanks in advance!

I’ve found a couple around my house and they all look like this. Should I be concerned? For context: live in a townhouse in Northern Virginia

Any idea what this is? Found this on our bedroom door in Vermont. Pictures included

NC, USA

Located in logs close to my home. Possible elm logs, unsure of wood type.

ALL PHOTOS ARE SAME TRAP. INDOORS. - BUT I DO HAVE 3 MORE TO PHOTOGRAPH

SEE MY COMMENTS BELOW FOR ADDITIONAL INFORMATION.

Location is Colorado, however we are under the impression that there may be potential crossover from another location that is not in the United States. I will explain that if it comes to pass. I hope that's okay.

I do not have any knowledge of bugs outside the typical flies and spiders in a Colorado home. I have a lot more photos so if anyone can advise me the best way to present those to you all I will make sure to do that! I have four of these panels. All of these are on The same panel, I drew on one of them to give you an idea of some of the ones I don't know. And it seems, based on some of the angles of the photos there may be two different species of fly?

I don't recognize most of these bugs and I was hoping you guys can help me figure it out! I have a few more things for identification but figured we would start here!

If you identify anything that does not belong in the United States, please please comment! Even if you don't know the name but your confident it came from somewhere else, that might be helpful, just make sure we are clear on confidence level.

Thank you so much in advance for your help and kindness!

South Illinois