The rifle pictured is a 1903 Springfield. .284 caliber means the barrel is NOT original. The stock is also not original. The extractor has been engine turned (a nice cosmetic touch), the bolt handle has been (rather roughly) relieved to clear the scope.
Has an unusual on/off tab style safety.
that is NOT the safety. It is the magazine cutoff. One position allows rounds to feed from the magazine, the other does not (to allow for single loading the chamber) the mid position allows the bolt to be removed from the receiver.
The safety on the pictured rifle HAS BEEN REMOVED !!!!!!
The 1903 safety is a "wing" type, such as found on the 98 Mauser (and others).
I'll say this again, to be clear, your rifle does NOT HAVE A SAFETY on it, as pictured.
Looks like it was a good hunting rifle in its day, and still would be today, assuming the bore was still good. Clean it up, have the headspace checked, Check to ensure it has a factory spec chamber, sometimes the custom rifles had "improved" chambers. Not a huge deal if it does, just a slight complication if you plan to reload for it.
Factory ammo, brass, and dies are still available, but not cheap. Looks like you've got a half dozen or so boxes of ammo, plenty for quite a few years worth of regular hunting use. More ammo in stock (or components) never hurts, unless the kids don't have shoes and your other bills go unpaid.
Looks like a fair project, just keep in mind the 1903 action has its limitations. Don't try to turn it into a magnum, and things should work out well.
There are (or were...) scope safeties for the 1903. Not identical to the scope safety of the 98 Mauser, but worked the same way. As low mounted as that scope is, I'm not sure even the "scope safety" version of the safely wing would work on that gun, which is probably why the original safety was removed, and not replaced with anything.
Good luck, and be safe. With the gun the way its shown, the only safety is the one between your ears...