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Post WWII US Army Bonin & Marainas Command (MARBO patch) Post WWI command formed 1948 for US army stationed at the Marianas & Bonin Islands - Palm Tree on an Island.
WWII US Army Pacific Command Patch Arrow on a blue background filled with white stars. 
WWII / Korean US 8th Army Patch / white cross on a red background.
WWII US Army Hawaiian Department patch/ Scarlet octagon representing the 8 Islands w/ a stylized Yellow H representing Hawaii.
Post WWII & Korean war US army Logistical Command  patch / Japanese symbol with white background and red border.
WWII US Army 25th infantry Division patch / yellow Lighting bolt set against a red taro leaf background with a yellow border.
WWII Us Army North (5th Army) patch Mediterranean Theater /  White A over 5 in Red white & Blue.
WWII US Army Insignia for the Caribbean Defense Command / White Spanish Galleon w/ red cross on blue background.
WWII US army ROTC Patch.
WWII 1941-1945 US Army 5th Armored division Known as the 'Victory Patch" This division Landed on Utah Beach and played a key role in liberating Europe during WWII / Yellow top Black 5 over Cannon w/ red lighting bolt w/  Yellow , Red and blue background.
WWII  US Army 3rd Armored division Known as the 'Spearhead Patch" This division played a key role in liberating Europe during WWII including the battle of the Bulge / Yellow top Black 5 over Cannon w/ red lighting bolt w/ Yellow , Red and blue background.
WWII 1940 US Army Ist  Armored division Famously Known as the 'Old Ironsides Patch" This division was the first American Armored unit to see combat in WWII  Yellow top Black 1 over Cannon w/ red lighting bolt w/ Yellow , Red and blue background. For Calvary,Infantry, & Artillery.
WWI US army 2nd Division Often referred to as the Indian Head Patch.
Texas Vintage purple Shield Patch With white T Likely Tarleton State University  Texans