all the rifles in your you list will be suitable for deer
the 303 enfield, the 30cal mossin nagant, the 30 cal sks, and the mauser, these 4 platforms are used every year to take numerous deer.
and many of each have been used for hunting for decades, I would use the one that shot best, and carried the easiest, if you are going with glass on top I would see which one I could get a mount for the easiest as well, but it sounds like Santa has that covered, however at 75 yards scope will not be needed
as far as a 30-30 I broke a a lnib 1967 Canadian Winchester model 94 rifle out of the box this year. with a 26" barrel, to deer hunt with, and took an 180 lb 140" 8 point at 250 yards with the gun, using a 35 dollar 3x9 tasco scope on a side mount
I was shooting the 160 grain hornady leverlution ftx ammo, the gun was shooting half dollar at 100 yards , and when the deer came out I put the crosshair's , just below the back bone and the round impacted center of the deer's engine room, he went down like he was hit with thors hammer
I have several other deer rifles from 243,270,7mmrem-mag, 30-06, 257 Roberts, 257weatherby, all proven rifles with much higher dollar glass on them, but I just decided I wanted to hunt old school this year, so I broke the long barreled lever gun out of the box and hunted with it, and was impressed with the guns performance, but that extra 6 inches of barrel makes a lot of difference than shooting a 20" lever carbine