I can't get my featherlite to start, I've changed out the fuel mixture with fresh, everything else seems OK, can anyone help?

Here is the good and bad news. Believe it or not a new one will cost about what you'd pay to have your carborator rebuilt. I think your carb is the issue, usually is with these small 2 cycle engines. The carb is smaller than your thumb and not easy for a DIYer to rebuild but you can get a kits. I would dump all gas completely and then put several ounces of Sea Foam or any other good carb cleaner in the tank. Pump the bulb 10X and try to start, it won't start but do it anyway. Repeat a few times and then dump the cleaner and refill with fresh gas and oil. It will take several attempts to clear the cleaner from the lines and the carb so take your time and let su know how it went.