For bows, higher weight means faster arrow travel speed, and normally a slower nocking speed.The weapon sections below, excluding the Bows and Crossbows, are in order of lowest to highest damage and weight - so daggers first, with their low damage and low weight, moving ending with the heaviest and highest-damage Warhammers.An 'N/A' for Perk means you need to boost your Smithing past 100 with Alchemy to improve it beyond Flawless - specifically, you need to max your Smithing level to 100 and then use potions of Fortify Smithing to boost it beyond that, at which point the weapons in question, which don't benefit from any of the Smithing skill Perks, can then be improved beyond Flawless quality.
Watch on YouTube Skyrim best weapons explained