Always Sprint Zombies:
Always sprinting zombies seems like a bit much, dont'cha think? But I'm certain that if you look hard enough for it in the scripts it will say something about defining the speed of a zombie based on what round it is. Just make a copy, modify it to your liking, and plug it into your mods, /maps folder.
Auto Turret:
That's already a prefab. Look for the "turret_prototype" thing.
Deployable MG With a Price for Use:
Look for how to make a static mounted MG and just add the "zombie_cost" "amount" KVP to it. Not entirely sure how to make the text display on your screen like it would with a perk, and how it says "Buy Juggernog: Cost 2500". Not entirely sure how you would go about time limitations on the MG, if any.
Airstrikes:
Like a Maxis drone that you have to BUILD, or like a box weapon that replaces your alt grenades? There are many different ways this can be implemented. It all just depends on how you wan't to integrate it, although I haven't seen a whole lot of maps with buildables, and with good reason. It's sorta annoying to have to scavenge for parts, and it makes it not worth the effort.
Buyable Shield:
That is actually rather simple. Just google how to make a wall weapon from scratch. It's basically gonna be the exact same thing, just don't include the chalk and gun-coming-out-of-wall-after-purchase things.
Gobblegum:
The Gobblegum is not at all simple. That requires a ton of scripting. Find the map that the person you're watching is playing, and see if you can't track down where the map-maker got his scripts from.
Moving Box:
Download Sniperbolt's tutorial prefabs. The "treasure_chest_start" one is where the box will begin, and the 5 numbered ones will be alternate locations that it can move to. I don't know if putting the same prefab down twice would create another alternate location, or just not work, but I'm assuming it's probably the second one. (For example two treasure_chest_1 prefabs would either not work, or work perfectly. I have yet to actually test this.) This is certainly a LOT easier that making each box location from scratch.
Alternate Boss Zombies:
I have no clue. Can't be too hard though. Refer to UGX's "Adding Boss Zombies Made Easy" thing or whatever it's called. If you use the UGX 2.0.1 script placer it should have the option to integrate the UGX "Adding Boss Zombies Made Easy" thing.
Hope this helps!