Hi Amiah and
to the forums!
You've done the right things so far despite having no experience with birds, which is great. It's understandable that you've been nervous to handle them but you definitely did the right thing by separating the birds.
If you post photos of your birds' ceres taken in natural light, we will be able to confirm their gender. Often, problems arise in a cage even with an even number of birds because the genders are uneven, causing three boys to pick over one female or vice versa.
Now that Sunshine is in a cage with Loc, it sounds like they're getting along fine and are enjoying the quiet. I know that you're upset that the cage moving went so badly but they won't be scared forever. Be sure the cage they're in now is sturdy and they will be fine.
As for Free and WP, do they get along with each other? If they do, then it's okay to house those two together. If they seem to be bullying each other, you may need to separate them into individual cages. However, from what you said, it seemed that the flock dynamics problems were improved by just separating them into two different cages.
Try to be relaxed and calm around your new budgies. Birds are naturally very skittish and easily frightened, but they are excellent at reading body language and understand human emotions and nonverbal cues.
Spend time reading, speaking, and being with them in the same room, doing calm activities and watching them. Do this for a few weeks, and they'll start to learn that you're not a threat to them.
You've come to a great place to learn even more about these sweet birds! Be sure to read through the forums as they include many useful articles and "stickies" which will help you stay updated on the very best of budgie care practices!
If you have any questions after reading through everything, be sure to ask!
We look forward to seeing you and your birds around the forums!