Actually on most fords I have dealt with (probably others also, just never tried) there is normally a method of turn the key off and on like 8 times (I would look that up somewhere to make sure that is correct, its been awhile), then leave it on and press the button on the remote for 30 seconds. Picked up remotes from salvage yards and used that method and always worked fine.
Not sure if suzuki works the same way, but worth checking I guess.