I got accident and it's my first time and I don't know what to do if I do it right or no.

So I got in an accident, not my fault; someone T-boned me. I got a police report, but at that time, the police didn't know who was at fault. I think my car is going to be totaled because all the airbags deployed. When I got home, my dashcam saved the footage to locked storage, so it wouldn't get deleted. That's why I didn't see it on the dashcam when the police and I tried to look at it. But now I have the footage that shows the other driver is at fault; he T-boned me. I had a green light, and he had a red. Now I've called my insurance to open a claim and told them what happened, and they told me to call the other guy's insurance and open a claim. I did that, and I spoke to the third-party insurance to open a claim, and they still want to investigate. They called me and asked what happened. I told them I'm not okay, I'm in pain, and I'm seeking medical evaluation cuz my 2 knees sweeling and my back neck hurting. Then they told me to send the video to the email they gave me, so I sent it. The next day, they called me again to ask if I sent the video. I told them I did, but he told me he didn't see it, so he told me to send it again and I said okay and sent it again morning. Then afternoon since I didn't receive a call, I called my insurance again and told them to talk with the other insurance on my behalf since my insurance is starting to estimate my car at the shop they suggested. I dont knoe if I did right thing cuz I'm from another country and just live here for 3 years not been in accident, so I'm not familiar with this process. 🥲