Eiger Carb error

Good morning, I am new to the forum. I'm 75 years old and love getting ATVs back to usable condition. I particularly like the 2006-2009 Arctic Cat 250 Utility. I currently own 6. The 2006 I am working on only has reverse and low gear. The "drive shaft" in the transmission is completely stripped where the high gear would mesh. Has anyone on here replaced the shaft. I'm told I have to split the case. I was hoping that someone on here could let me know how hard it will be. I already have it stripped down to where the shaft coming in from the clutch side is the only thing left. I was hoping I could just remove the driven clutch and drive it out from there. Directions say different. Any help would be greatly appreciated.

I was looking to buy a new ATV. 
I was debating between Polaris sportsman 450 and Honda rancher.
Polaris it a bit cheaper.
But can you tell me which one will have more demand on the used market? Which one will keep it's value better?
 
Let's say 3-5 years from now.

Just recently bought a dead 06 Eiger, Can someone post or send me a wiring diagram for it:? 
Need to check all wires, no power in most places, Cant seem to read the ones from online manual,
too blury and cant tell wire color. Just too small. Thanks Az

Hi All.  I introduced myself some weeks ago with my 2006 LT-F400F that needed a list of repairs including replacing the cracked generator cover.  It is back together as of last night and cranks up, idles and revs high pretty well.  Needs some fine tuning and stop backfiring at stop.
The big issue is it will not go into gear.  I reassembled the insides with help from y’all’s posts.  The transfer selector moves from H-L-R, and the foot shifter moves thru the gears and finds neutral easily enough.  Before I tear it back open, the  transfer selector on top does not move as far as the repair manual says.  The diagram shows the shaft moving something like 40 degrees between L and H and 50+ degrees between L and R but it doesn’t move that far even though it finds the indent areas and moves well.  
Could this be the problem.  I aligned all the dots on the shifter gears inside and it appeared to not be binding anywhere.  I do hear the gears touching when I shift like they are trying to engage, but zero movement from the ARV
It was somewhat difficult to tell whether all the parts are installed on each shaft.
Are there better/bigger photos somewhere that would allow me to be confident I included all the washers and bushings, etc?  If I had any doubt on parts that were laying inside after the cover broke then I purchased replacements from online stores.
TIA for any input or feedback!!  Pics are from when I first took the generator cover off.

I've been working on this 4 wheeler for a buddy of mine. I got it running yesterday and went to ride it around the yard on a test drive. Well, it backed out of the garage fine, but when I went to move forward, it wouldn't move at all. While giving it throttle, the bike would lurch forward as if I had the brake on holding it back. Then it died died on me and wouldn't crank. That sounded like the starter was bound up. It's a new starter that I put on not long ago. It's an aftermarket. Also, when I would rev the engine up trying to get it to move, it sounded like it didn't have much, if any, power. It just wasn't revving right. Anybody have any thoughts as to what could be my problem now? The guy doesn't know what was done to the 4 wheeler by a family member. So anything could be wrong with it. Also, it rolls just fine when I had to push it back in the building. I couldn't hear any clanking or rattling in the rear end.