Sorry you're having so many problems. The fact is, turning off your animations has been standard operating procedure on all Flagship Android devices for the past 4-5 years at least. The stock animations are worthless anyway. If you want cool animations switching from one screen to the next, I suggest going with a third party launcher, they are much more noticeable and there are many more to choose from.
As for Odin and root, you need a pc, as you've experienced it doesn't work on a MAC. (its been this way for as long as I can remember, although there are other methods such as mobile odin, etc. Although this is currently the only method available on the S5) There's a program called Heimdall that makes rooting possible via a Mac, but it's a PITA , and not very user friendly. I don't think it's been updated yet to work on the S5
If your stock device is giving you so many problems, you might try exchanging it under warranty. The two S5s in my household run great under stock with no lag. The only reason we rooted was to get rid of ads and to use Titanium Backup so we could freeze bloat. The fact is EVERY Verizon & Samsung device will have a certain amount of bloat, that's simply the way it's been since smartphones arrived on Verizon. You might be better off switching carriers if it's that problematic for you.
As I mentioned, you may simply have a defective device if your 4G doesn't work and your phone is that laggy. If still no change after a factory data reset, replace it under factory warranty, it won't cost you a dime.
Good luck and let me know if I can be of more assistance.
tap'n on my S5