You may need to replace the termite eaten one before refinishing.
I don't see termite damage. Is it under the tape? If that is the only damage. There is plenty of wood putty available that comes stained, you may be able find a match. There is wood putty that will take a stain so if you are going to refinish the whole floor. Sand it down as far as you plan to go then decide how to match the floor as it is, and be sure to get a putty that will take stain so it will continue to match as you redo the floor.
I agree with Oberlinmom, don't see any termite damage unless it is as she said and it is under the taped area. I am also assuming that you no longer have termites. That being said and done with, wood filler should do the trick, the wood filler becomes an integrated part of the wood and should be plenty sturdy, standing up to traffic.
That looks more like water damage. Some of the lower cost laminate flooring is like cardboard when it gets wet. Even a small spill left for a short time can cause damage. I speak from having this same problem.
Hi Lee, color matched wood putty will fix that up very well! Minwax makes it, https://www.google.ca/imgres?imgurl=https://images-na.ssl-images-amazon.com/images/I/41x4JKX9PML._SX355_.jpg&imgrefurl=https://www.amazon.in/Minwax-Wood-Putty-Fill-Holes/dp/B00CAO6VZ2&h=344&w=355&tbnid=ofbY_D2x2vafTM:&q=wood+putty&tbnh=186&tbnw=191&usg=AI4_-kSoioKuT7gi0nbkJFxmOqTz_IDyXQ&vet=12ahUKEwiCs7Cz1v_eAhXq6YMKHTO0ACkQ_B0wGnoECAQQBg..i&docid=QqmnG8HB0iD3UM&itg=1&sa=X&ved=2ahUKEwiCs7Cz1v_eAhXq6YMKHTO0ACkQ_B0wGnoECAQQBg
Check that it really is termite damage. If it is, you have a problem--a chair or table leg, or someone's high-heel shoe, could go right through it. We once had a floor that had termite damage (from underneath, they work out of sight), and it couldn't be seen by the naked eye--but the vacuum cleaner ran over it, and sucked the entire board up as dust, leaving a large hole!
So, if it is really termites, you have to have the whole floor, and the joists holding it up, checked for structural soundness.
How do I0 determine it is termites.