No it will not. You will need to acquire an AICS pattern magazine for any XLR chassis system
If it is a short action chambered Tikka T3 it should fit.
No, it will not.
Yes, the long action Remington 700 will work with the long action, 7mm Remington Magnum action.
This particular one I believe not. XLR does however make a chassis for the axis xp. They have one for the 11 to 16 models for bottom bolt release then one for the two different action screw spacings, then one for just the axis.
No, the ambidextrous designation indicates that the gun can be fired equally comfortably with either hand. There are both left and right hand actions on this page. Please contact us at techsales@opticsplanet.com with the make, model, and caliber of your rifle and we will be happy to see if we have one that will fit your firearm.
Please contact us at techsales@opticsplanet.com as we will need the exact model rifle to determine fit.
Updated Answer: Yes the standard ERGO grip is included in this package.