sounds friggin horrible
First of all props to the new guy for the quality video
I noticed a few things here:
-your engine looks like it jumped a little. Check the mounts
-I want to suggest that you check the exhaust manifold or pipes for leaks (I have a feeling it isn't that easy though)
-that cap looks ancient. I think it was red at one time

Replace the cap, rotor, plugs, wires. It looks like they've been there since day one.
-might have messed up timing when changing timing belt?
The 1.6 might be weak, but the engine will last a long time if maintained. I see less issues with burning than the 1.8 on here.