You can look up the specs of your car in the owner manual or a repair manual, probably available at your local store. You will be able to find the transmission model numbers that correspond to your vehicle, and check to see that the transmission you are looking at is compatible.
You can tell if synchronizers are broken in the transmission on a 2001 ford escape by checking the sychronizers.
The 2004 Ford Escape has a 5-speed manual.
The 2007 Ford Escape has a 5-speed manual.
The 2008 Ford Escape has a 5-speed manual.
The 2006 Ford Escape has a 5-speed manual.
The 2003 Ford Escape has a 5-speed manual.
The 2009 Ford Escape has a 5-speed manual.
The 2005 Ford Escape has a 5-speed manual.
The 2011 Ford Escape has a 5-speed manual.
The 2012 Ford Escape has a 5-speed manual.
Yes. They should both have the AX4S transmission.
The 2013 Ford Escape has a 6-speed shiftable automatic.