Washer fills and washes ,stops but will not advance to spin cycle

Another possiblity is that a sock or other piece of laundry is blocking the pipe to the filter/pump.

When the washer stops is there still water in it? Do you hear any noise coming from the drain pump which might indicate it is working/

Check your lid switch a pin on the lid should go into a hole on the top or, in some models a magnet is used if the lid switch is not depressed (lid closed) it will not spin (safety device) I insert a pen or, screwdriver into the switch hole to test be carefull though because it may spin with the lid open

If washer will not drain or spin !! , try this solution , 1 ) open washer and at the bottom locate a small DRAIN MOTOR PUMP , is usually clogged with lint & debri , take it out , clean it , replace and try again , let me know , AJ