Awe, not really true, but nice of you to say! It's not silly, you aren't born knowing how to write, especially not specialized content. Read my intro, I can't write as a guy lol.
Retreat: retreat, fall back
If while moving a 'rally point' is indicated, somewhere to meet if the team/group/squad/platoon gets separated, you might hear 'fall back to the RP'
Examples: Sir, we've been made! Retreat, take cover! Don't give 'em an easy target, evasive maneuvers as you fall back to the rally point!
moving forward: Move out, advance, it might be referred to as 'advancing on a position'
examples: Move out, boys, we've got a meet and greet at o'nine hundred. We've made visual contact with the target. Roger that, proceed as planned. Target is in sight, advancing on my mark.
did a little with nightvision in basic. Really references to nightvision aren't so much military specific jargon as slang. We call it NV a lot, we also use infrared. You might hear something as simple as a command to "get out/bring out the goggles"
Examples: Keep an eye out, we're heading in to rough terrain. The roads around here are popular with the locals for IED's, be on your guard. Keep your heads on a swivel. Keep a 25 meter perimeter, don't want anything sneaking up on us. Sir/Ma'am/Sergeant it's getting dark. Alright, get out the goggles/NV specs.