What lenses to pair with a canon 80d for Sports (hockey mainly), vlogging, and videography?
Indoor sports like basketball and hockey require a fast shutter speed to prevent the subjects from being blurred due to their movement. Problem is that you're inside shooting in a somewhat dim lighting situation. Therefore, you must have a lens that has an aperture of at least f/2.8 or better. Most of the time when I shot hockey *(photography only, no video) I shot with my 70-200 f/2.8L. I'd whole heartedly recommend getting Canon's 70-200 f/2.8L IS lens which will allow you to shoot at about ISO 3200 and get shutter speeds fast enough to stop the action. If you're shooting professional hockey, the lighting is likely to be better ESPECIALLY when the TV lights are on for televised games. Canon recently released their Mark iii version of this lens, but it's not much different than the Mark ii version. I think the only thing they did to the Mark iii version is change the white paint and improved on the coatings. Doesn't seem like it's worth spending the extra $300 for the Mark iii version. Looking over what B&H shows as being available in a f/2.8 telephoto zoom, I'd say you really only have two choices: the 70-200 f/2.8 IS mark II or the Mark iii version. While the 70-200 f/2.8L IS will be your main workhorse lens, you may want an ultra-wide like the Canon 11-24 f/4L for close-up shots of fans, establishing shots of the arena, or if you have access, close-up shots of the players. These types of shots don't require fast shutter speeds, so an f/4 lens will be more than adequate. You do not want to go with a non IS 70-200 because you'll need the image stabilization when doing videos. A nice thing about the 70-200 f/2.8L on your 80D is that it's equivalent to a 112-320mm in 35mm format on your 80D. If you add the 1.4x, which only looses 1 stop of light, you'll have a 156-448mm f/4 lens which will be fantastic for baseball and football day games.
telephoto or macro
SSP Bowl Dude
Buy a proper camcorder