If the ammunition is clean and undented it should be safe to fire. Clean means no corrosion or verdigris but dull brass is ok. The WW2 30.06 is made for the M1rifle so it would be safe for any high number M1903. US rifle .30 ammunition mfg. before 1952 will have corrosive primers so clean diligently after firing. Even a 24 hour delay after firing will begin to rust in the barrel.
The red on the annular ring is a laquer water proofing. Tracers have a red tipped bullet.
BEAR