The Waffenamt Eagle /135 is the inspection mark assigned the Mauser (BYF) from 41 to 45
Waffenamt Eagle 623 (on the bbl) is the inspection mark assigned to Steyr Works (Austria) in the same time period.
I don't know enough about these to say if it was rebbld with a Steyr bbl or if Mauser plant was supplied with Steyr bbls and used them to assemble the rifle originally.
The Eagle/Swastica is the Nazi era Proof mark
The most interesting mark is the
Eagle/ SS runes ZZA4
That is on the bbl.
The marking is a rare one,,it is an SS property mark.
HOWEVER it is one of the most frequently faked markings on K98;s
There are several versions including a graphic 'Deaths Head' imprint along with those Runes, letters and number.
The SS marking is faked onto most any Nazi arms and equipment with hopes of bringing extreme money,,so buyers are very wary and hesitant to purchase SS marked items.
Even the real thing gets passed over because the fakers have gotten so good,,the experts can't be 100% sure anymore. Sad
I tend to think the marking is real from the history of the gun as you tell it and the look of it in the closeup photo.
I don't know a lot about those SS rifles, but I believe the stock was also marked on the butt with a stamping and the action probably would have the same stamp applied as the bbl.
So I'm thinking a re=bbled Mauser mfg rifle w/a Steyr bbl that happens to have the SS mark on it.
Do some investigation on the net. Look up things like Nazi barrel mark zza4,,or SS barrel mark zza4 there's probably plenty of pics and info.
I would think a true SS marked k98 would be in the 3K and up range,,,a regular matching k98 about the prices you were offered, perhaps a little more for the non-import, pristine bore ect..
Current auctions should help with values.
Just my opinion of course,,and I've been away from the milsurp scene for quite a while..