Hesitation at 60 mph and up

if you are nasty at idle, your carb is probably plugged up wit all the crud you picked up when you ran it out of gas. Reverse flow fuel line to tank with compressed air, just give it a shot from a compressor with the CAP OFF (or else you'll bellow the tank) Now you got all the particles back in suspension, youll need to purge the tank. Put filterless fuel line into bucket and pressurize tank from filler (get something round and flat and drill a hole in it, put over filler pipe and stick blow gun into hole and pressurize slowly until you are pumping fuel out of tank. thats bad gas, put into lawn mower if its clean, if its dirty...? you dont really need the sock, just make sure you run 2 inline filters, one at tank outlet and one at carb. Youll need to clean carb idle circuit, or a basic carb cleaning. Gumout can and some compressed air. you can get into tank later to repair sock, its a fine mesh bag that fits over inlet pipe, probably just a rusted hulk in there right now. I blew a rusted one up with compressed air and it blew with a cloud of red dust.
Buy replacement sock and run car until its as close to empty as you dare. There is a ring around the fuel sender that comes off wiht a counterclockwise twist, you usually tap it with a non-metallic mallet like brass or plastic and itll turn enough to come off, Now you can manipulate the sender out of the tank (it'll reek of gas down there, give yourself an 'out') and crimp new sock onto pipe. You may want to try and retrice the old sock if it didnt come out with sender, most likely it will be blown out but still on pipe. My Mazda has an electric pump and a plugged filter. It would run fine at idle all day until you got on it and it would run for about 30 seconds and then bog terribly. then it would catch up if you let it idle again to start the cycle again. REplaced the $3 filter and ran great after than. It didnt even look bad as it was semi clear, and still white but the new one cured the problem.