2000 Grand Vitara V6 - Keyless Entry?

I checked Auto Zone's website and the firing order for the V6 engines was 1-6-5-4-3-2 for a distributor-less system I will post a link to the site. Scroll to the bottom of the page to see the diagram.
https://www.autozone.com/repairguides/Suzuki-Vitara-Grand-Vitara-XL7-2000-06/Firing-Orders/Firing-Orders/_/P-0996b43f8037c759

https://suzukipitstopplus.com/Category/3-suzuki-service-manuals.aspx

most newer vehicles will not lock the door with the keys in the ignition and/or the keyless start remote fob in the vehicle. Vitara has a small button on the handle that will unlock the door if you have the fob in your pocket if the fob is in the car it can"t be secured since it is set up to unlock when the fob is within a couple feet of the vehicle. I know this is a late post for your question maybe it will help others

Not a car expert but have some common sense advice---is it possible the vehicle was re-keyed before you got it? Someone may have lost the original keys and resorted to just using the other feature---a year is a long time not to know about this---I should not talk as recently got a vehicle where owner said rear window would not open for last two years=that vehicle has child safety locks on rear doors that also disable windows--needless to say nothing wrong.

I would talk to Suzuki if the key box is a factory installed item to see if it has a way of locking the physical keys out.

Worth asking---if after market item it may have been installed in a way that causes this issue.

Yes your vehicle comes with keyless entry, I would request the dealership that you bought it from give you the code or program thefob for you cause dealerships charge a arm and leg to program them.

you may have a simple issue with power to the receiver unit, if this is an aftermarket one it is usualy installed under the dash above your left leg. Check for any burnt fuses too.

you have to have a memorie saver, plugs into the cigiret lighter spot. then your safe to change out batt without worrie

Hi.
There is no way of changing 2 press into 1 press. For unlocking all doors - press the remote 2 times.

The owners manual is the same for 99-2005, i could not find a 2000 but did find a 2001on ebay, here is the link to that auction:
http://cgi.ebay.com/ebaymotors/2001-SUZUKI-VITARA-GRAND-VITARA-OWNERS-MANUAL-01_W0QQcmdZViewItemQQ_trksidZp1638Q2em118Q2el1247QQcategoryZ6762QQihZ014QQitemZ330260535962QQrdZ1QQsspagenameZWD1V

xl-7 programming instructions first you need to stuff your head up under the dash and locate your module drivers side upper corner under dash does it say programmable transmitter (the first models had no programable modules) if it says that then......
1 confirm all doors are shut and key is out of ignition
2 open drivers door insert key and turn to on within 10 sec
3 turn ignition switch to off in 10 sec
4 push and release drivers door switch 3 times in 20 sec
5 turn ign. switch to on in 10 sec
6 turn ign. switch to off in 10 sec
7 press and hold lock and unlock button on transmitter for 5 sec within 20 sec of step 6 alldoors will lock/unlockto confirm correct process
8 press lock unlock buttons on second remote within 5 sec after step 7 once again all doors will lock/unlock to confirm
9 to add another remote up to a max of four repeat steps 1 through 8 this was taken directly out of an owners manual supplement that comes with a new keyless entry kit (part number for a xl-7 or grand vitara can't remember which one it goes to but it works on either one is 84900-67810) which you would have to purchase if yours is not programable these instructions are the same for vitara, grand vitara, xl-7 and the esteem hope this helps