Good news! The RHS mods downloaded without issue and showed up on the launcher right away! In addition, I downloaded several other mods, and they all got to the launcher without issue. Can you mark this issue as solved? Thanks so much for the help!

Just a quick update. I started my launcher just now (8:36 PM EST) to see if any mods that I subbed to earlier today actually showed in the launcher. To my surprise, a mod actually showed up! I only downloaded one mod today, and it didn't crash the launcher since I unsubscribed from a bunch of mods I didn't use.

I just realized that I may not have included all of the current logs. Here are all of them (I Think)

So, I followed your instructions, and none of the mods that I subscribed to showed up. However, Around two thirds of all of my mods (I have a bunch of them) all said they were updated. Anyway, here are the logs:

One more thing. Does unsubscribing from the mods just fix the crashes, or will it also make the mods be recognized in a timely manner by the launcher?

Holy crap, thanks so much! I had no idea this would get resolved so quickly. Seriously, thank you for your quick responses!

Here is the latest Arma 3 launcher crash log. It is from the 29th of December.