Do you have specific plans for the guitar, like you actually want to play again or is it more of a space issue in your apartment?
Because honestly the F310 is a solid choice, it ages well. After 14 years sitting in a corner rusty strings are normal but that says nothing about the internal condition. Before you decide, you'd need to check if the neck hasn't shifted (look at it from the side along the whole length), if the body still resonates when you tap it, and if the string action at the nut feels normal once you change them. If all that checks out, a little setup won't cost much - string change, cleaning, maybe a truss rod adjustment if the neck has moved. Dull finish is just cosmetic, it doesn't affect the sound.
For resale you should know that used F310s don't go for much - you'll find new ones at similar prices. So unless you really need the cash, it's better to just get it back in working order so you can give it to someone or keep it. Worst case it just sits around like before but at least it works.