I got New actioncamera, last camera broke but this is just like before but with more gadgets... 
https://www.youtube.com/watch?v=rhwUQw7xXl0

https://www.youtube.com/watch?v=rhwUQw7xXl0
I watched your video and your new HD camera needs the new special card to record in high definition . without it you'll just get a regular video.
they make a newer style memory card for high definition. the one that came with the new camera should be ok.
the older non HD cameras didn't need this and didn't need the better card..
Your old card will work fine but you will not get High definition with your HD camera.
I don't know what the letters HC mean
If your old broken camera was HD you should have the correct card.
your manual should explain.
jim
The card should be a Class 10 card. Class 10 cards have a "10" in a circle on them. Like this one: Amazon.com: SanDisk Ultra 64GB UHS-I/Class 10 Micro SDXC Memory Card Up to 48MB/s With Adapter- SDSDQUAN-064G-G4A [Newest Version]: Computers & Accessories
Alternatively, the card could be UHS-1 or better. Those have a "U" with a "1" in the "U" like this one: Amazon.com: Samsung 64GB EVO Class 10 Micro SDXC up to 48MB/s with Adapter (MB-MP64DA/AM): Computers & Accessories