Ha, what a trip! $1500 for an LCD panel ($2400 if you opt for the 5 year anti-vandalism warranty)? Proves the old adage, 'a fool and his money are soon parted.'
Really, if you absolutely had to memorialize someone that way, you'd be better off buying one of those $20 commercial digital photo frames, wiring it to a solar panel, and drilling a couple mounting screws into the stone monument (which would have the added advantage of removable parts, since something will eventually fail).
I also suspect there's a better chance of one of my e-books still existing in 2,000 years than one of my paperbacks.
Then you have far more faith in digital storage media than I. FWIW, to this day they're digging up perfectly preserved, 2,000 year old scrolls in Mesopotamia. Your electronics will not last that long, and one good, solid solar flare is all it would take to completely wipe out all digitally stored media the world over.
I doubt either will, but the paperback is more likely to become ash in a house fire or mush in a flood than the file.
If you store them properly, then yes, the paperback books will still exist in 2,000 years. The e-books on your Kindle? Well, if you turn it off RIGHT NOW there might be a few read/write cycles left by that point in time, but the leakage from the battery will have rendered the entire thing a useless lump of minerals long before, no matter how well you store it.