Pe*** Study

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.

Which is more reliable? Shaft or chain drive? 

After turning off engine in neutral  starter wont engage If I rock unit back and forth it engages Getting progressive worse.

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 rebuilt the top end on my 2007 Honda Trx500fe. It ran fine right after the rebuilt. But now when I try to crank it it blows Bach through the carburetor. I held my hand over the opening for the intake air and it blew gas back on my hand. Can figure out what happened all of a sudden. It was cranking and was able to ride it running through all the gears. Now can get it to crank just blowing gas back to the air filter. Need help again. Starting to think I should have walked away from this one.