I have a problem with a similar set up.
I have a customer that has a building about 600 ft from main office that he wants an internet connection to. There's a 25 pair, 24 gauge old SWBT cable going to building with phone ext. in it. From switch, that's 60ft away, I have cat5e wire ran back to phone closet and splice into 25pr cable, the correct 2 pairs. I put a rj45 on end, plug in a laptop and surf fine. But they want the connection on other side of building, 350 ft away. When I splice on more cat5e wire it doesn't work. Go back to end of cable, place switch or router, will not work. Will the Ethernet extender, as in first post, work?