The white background symbolizes the Ordnance Corp's motto, 'ARMAMENT FOR PEACE.'
The Polish crest symbolizes freedom and peace.
Regimental Colours generally refer to the flags carried by the regiment that has the regiment's crest or coat of arms or identification. Like the US, a regimental color guard would have a national flag and a regimental flag. These were the colors that the men rallied around and fought to protect their identity. I hope that is your answer.
Short answer: Their Regimental Affiliation. Long Answer is spelled out in Army Regulation 600-82. http://www.apd.army.mil/pdffiles/r600_82.pdf
A ring with a crest typically has a family or personal crest engraved or embossed on it. It is often used to symbolize heritage, lineage, or personal identity and can be worn as a statement piece or a symbol of pride.
The Cullens each have the Cullen crest in a different form of crest and the hand symbolises faith and sencerity, the lion symbolises strentgh and ferocity and the trefoil symbolises perpetuity.
The battalion
I do believe it is her clan crest I have no idea how it relates to "of spring" but people do think (as do I) that it is the Haruno crest. White circle in red background. Yup.
It has a yellow background with black and white stripes, and the royal crest in the center is red.
There's a couple different ones - unit patches and regimental crests. A unit patch worn on the wearer's left sleeve indicates the unit they are actively serving with. A unit patch worn on the wearer's right sleeve indicates a unit they've served in combat with. As for regimental crests, they're worn on the epaulets of the dress uniforms, to indicate which regiment the battalion they're serving in is affiliated with. The regimental crest worn above the nameplate indicates their regimental affiliation (usually, the first unit they've served with).
Sakura is Japanese for blossom. They used to use the sympbol as a familial seal , each sakura design was slightly differtent.
The Czech Republic's crest features a two-tailed silver lion rampant on a red background. This lion is part of the historical emblem of Bohemia, which is one of the regions that now make up the Czech Republic.
You are most likely referring to a regimental crest. If you can send photos (email address is on my bio page), I could verify this. <><><> Agree. Description sounds like the crest of the XVIII (18th) Airborne Corps, based at Ft. Bragg NC.