Frigidaire FWT647GHSO when it gets to rinse first rinse cycle, it doesn't stop filling with water. It won't agitate or spin. It works well in the wash cycle, agitates and spins and advances

SOURCE: Agitator moves slowly on wash cycle/not at all on spin cycle

it sounds like the dogs are worn. try twisting the agitator post by hand,it should move freely in one direction then lock up going the other.its a pretty easy fix if they are.pry off the top of the agitator post off then remove the cap inside,there is a bolt that holds the post down.i'm pretty sure it's 7/16 in. once the bolt is loose,lift the whole agitator out of machine and with your hand inside post turn it upside downand let the dog holder slide out.watch how the dogs fit into the holder, replace with new dogs and reverse the removal process.
if the machine wont spin, check the lid switch. thats usually the cause of a no spin situation.other than that a wet vac is your best bet.hope that helps.

SOURCE: Will not drain or spin

Unless you jarred the machine it's the timer. You can check this by bypassing the lid switch and seeing if it will cycle.

SOURCE: Frigidaire washer won't agitate

Probably a stripped gear in the transmission.

SOURCE: Frigidaire front load washing machine won't stop filling

it sounds like your water valve is bad or you pressure switch is bad or hose from pressure switch to tub is cloged

SOURCE: Washer fills/agitates and stops prior to draining

If pump works fine or still pumps out water, then it is a timer malfunction. Replace the timer and you should be fine. To locate a part number for your timer, refer to www3.sears.com with the model number off your washer.