I took it out of a leather and sheepskin case and didn't wipe it off prior to taking the photo. PS - Please disregard the fuzz on the rifle. Psycho: Does you rifle have any of these characteristics of 1960's vintage Model 700 rifles? The stripper slot/charging notch is under the scope base so its not easy to see but this rifle has the stripper slot in the rear bridge carried over from the earlier Model 721 rifles. Also notice the flat tab safety lever which is different from the current round tab safety lever. Notice the short bolt shroud and the cocking piece protruding from the rear of the shroud even though the firing pin is in its forward fired position.
Here is a picture of an early Model 700 that I own with a 5 digit serial number. During that same year the bolt handle was swept a bit further back but as hunters began to complain about getting their trigger fingers rapped when shooting a rifle chambered for one of the magnum cartridges, it was changed back close to the original angle in 1974.
In addition to the fact that the barrel code of EA and the "B" prefix in the weapon serial number all indicate a 1980/early 1980's year of manufacture for psycho's rifle, some elements of 1960 rifles were unique to that decade as well: "A" rolled around again in 2006, but your rifle definitely appears to be an older rifle as you have stated from your personal ownership knowledge and from the B prefix serial number. If they are on the same side as the Model 700 lettering on the action (left side), the EA is the barrel date code and it would translate as follows (since you're saying its an older rifle with a B prefix serial number): Are those on the same side of the barrel as the REP or on the other side of the barrel where Model 700 is rolled on the action?. In your above post, you mentioned the EA58 on the right side of the barrel. Model 700 on the action and all the Remington stuff on the barrel from the factory, Remington Arms Ilion N.Y. The right side has a > enclosed with an outline the same shape, then REP the another symbol almost like an X but the top of the x is rounded. The E&A are like the stamp didn't set flat on the barrel and its only the lower half of the letters. The right side of the barrel looks like EA58. There is also a couple of symbols with the REP but even with a glass the are hard to make out. My bad, it is stamped REP with the oval around it and it is a Model 700 action.