no, any fps boosters if its JUST a fps booster (and in your case a texture pack), wont affect your speedrun. unless it alters the game in some way. tbh, i dont even know if texture packs affect speedruns the same way mods do.

i dont think fps boosters, and those types of packs affect the speedrun, unless it shows hitboxes, or some other way of enhancing PVE

just use beds.

Edit : also, for destroying the end crystals use snowballs.