My 2002 Tracker (4 door) with a 5 speed came from the factory with 4.62 gears in it. I obtained a set of 4.88 gears from another Tracker (2001) and installed those in place of the factory 4.62 gears. They pull my 30" tires very well. I am not certain what diff gears came in your Vitara with the manual transmission.
All the newer Trackers, GVs since around the 1995 model year have the 26 splined front axles.
Since you have easy access to having new cross pins for your diff case made, I would recommend you have your dad make you a set to install into your Lock Right. My factory LONG cross pin broke into three pieces about three months ago. I don't know why. I don't beat on my truck or drive it excessively hard. My neighbor owns a tool shop and he graciously made me a new solid long pin and the two shorter pins out of 5/8ths inch A2 tool steel bar that he then case hardened that I then installed into my differential I was rebuilding just over a month ago.
Can I prove that the factory diff case cross pins are weakened by the machined oil reliefs for the spyder gears? No. But my long pin broke across the edges of these factory machined oil reliefs after about 35-40K miles of driving on them. Besides this, when you install your Lock Right, you remove the spyder gears so there is no need for these oil reliefs in the diff case cross pins anyway.
During assembly, I coated all the cross pins, Lock Right halves, springs, pins and thrust washers with grease to ensure they were properly lubed until the gear oil got to them. Oh! Make sure you insert your Lock Right springs into the OBLONG holes in the Lock Right halves. They don't work if you don't!
Yeah... I screwed up inserting my springs the time before last.
I also added about a 1/2 pint
more gear oil than normal to my rear diff after it was installed back into my rear axle. Since the install, it has worked well and the Lock Right pops and bangs have been few and far between as well as
much quieter when they do occur, which I attribute to the additional gear oil baffling the noise more. Let me clarify it this way, when it does occasionally pop now, I hardly notice it and you can hardly hear it outside the truck. Before, sometimes it sounded like a rear end collision!