I believe the Co H 8 Infantry box (possible ammo box/crate?) may be legit, the bands on the box are typical for the civil war period, being a civil war digger I can't count how many iron bands like what are on this box I have dug in camps from decomposition of the boxes .. I have seen a few CW boxes before and I recall seeing similar type company letters on the box.. Just my thoughts but i think it could be a legit box. There are quite a few 8th infantry company H's out there but - it may be from the South, the North tended to label their boxes (if i recall) more properly like with - 14th N.H Vols or had U.S. on it, lot of the supplies that came from the North were manufactured by bigger companies and the boxes were more kinda like massed produced, this box looks like it may have been like family store or locally made kinda box.. That is just my thoughts maybe more pictures of the box on the backside,inside,etc could help. I am no "civil war box" expert but to me it feels right..
Also pointing out to those looking @ it - the "HOLD" sticker is not part of the box but "HOLD" for a costumer... had to zoom in on that ; )