It was already established in TOS that Pike's crew had "lasers" and that the Romulan War was fought with primitive nuclear weapons.
I don't see why the crew couldn't have had hand lasers and nuclear tipped "spacial torpedoes". Just calling them "phase pistols" and "photonic torpedoes" was a lame attempt to make them sound like TOS/TNG without actually having the exact same technology (though *what* the differences were, I dunno...)
There is no reason, that for story, we couldn't have had lasers (with a taser-like stun feature) or even "phased lasers" ("laser" for short, as per "The Cage", "phaser" later on, as the "phasing" became more advanced or whatever) &/or a dual "laser/phased particle beam gun" instead of "phase pistols"...and nuclear mines/torpedoes and the occasional primitive (and expensive, VERY unstable) antimatter weapon instead of "photonic weapons".
The Transporter, we already know had been around (and used for humans) prior to TNG for 200 years, so having them was fine. but I would have liked to see them slower, noisier, more power hungry, operated by a 2-man team, and more risky for human transport. (And the sparkly effect should have been gold, not TNG silver!)
I did like in the 4th season how the updated the transporter platform to look more TOS-like!