BWT, you are looking at an original Remington Bullet R1253. There are 13 of these original Bullet patterns and as a group they are fairly rare and collectible. With regard to the R1253, it is one of the more commonly available Bullets, in my opinion, and more common to find.
Are you wanting to build a Bullet collection? If so, my advice would be to wait for a better example and pay a little more because you will be more likely to find a buyer should that need ever arise. If you are just dabbling with Remington as a brand and want some variety in your collection then this could be a fit for you if the price is right which, in my opinion, would be lower than numbers you have already read in the previous responses.
The cracked nail pull is a problem, in my opinion. The minor blade wobble and lazy close is typical for these large lock back knives, in my experience.
I marked up one of the pictures you provided with some of my observations.