3rd Avenue. The HUD we got from Amazon there are TONS of fakes ones on Amazon also. https://www.amazon.com/gp/product/B071418CKC/ref=oh_aui_detailpage_o01_s03?ie=UTF8&psc=1 the box said A8. The fake one I got was C1. It use the OBD2 port. Here are the reviews for the HUD https://youtu.be/cfUmRj976qE

Yes, to the accessory power socket. You will be fine using the tire pump. Not like you using it for hours. Tops maybe less than 10 to 15 mins pumping air. Also, there is a 2nd accessory power socket inside the middle hand rest. I use that one for my radar detector. I leave it in while I am pumping air in my tires. Nothing blew up. Once I am done pumping I plug back in the dash cam. I have dashcam and radar detector on while driving. This is with new and old battery. Oh, and I have OBD2 HUD while driving too. https://www.amazon.com/dp/B071418CKC/ref=cm_sw_r_cp_apa_glt_fabc_G8R44DCT54HRTANXTQ40?_encoding=UTF8&psc=1

The honda battery will support your needs. Battery will degrade over time. That's why I change my Honda battery out. Again, turn your engine on before using. The honda battery drop very low while driving. I thought it was the alternator. But I use the multi meter and it was like 11.4 when everything is off. Some times even lower.