As I've already indicated to you, I want to use melee weapons, light armor, and not be one-shot by archers.
I'm not gonna say it's easy, but in general, you don't want to wear light armor if you want to survive arrow hits.
The reason why people wear them is to increase movement speed, sneak, and dodge projectiles.
And even when you get to melee, swinging around will not accomplish much (arrow are still deadly at point blank).
In fact, I trained up my Light Armor just for the Slow Motion power alone (costs stamina to activate) and not to absorb more hits.
I'm no expert but here's my approach when dealing with archers in Requiem while using Light Armor:
1. Sneak closer. Ready protection spell like Ironskin & Conjure Familiar as decoy etc. Backstab is hard, but not impossible if you're perked right and wear sneaky armor.
1a. Additionally, drop a frost rune if you have enough mana around corners. This is your safe fall-back option if the fight goes south.
2. Creep close - when spotted, cast spells then sheathe weapon, this is to increase your movement speed.
3. When you're close - Fus Ro Dah to stagger - draw your weapons, cut them up.
Additionally, quaff those Fortify HP potion to increase survivability and it doesn't hurt to poison your weapons to quickly take down your opponents (slow effect + damage over time is standard venom for me). Paralyzing venoms is instant win on top of the stagger that fus roh dah give. Don't go for fully charged shout all the time so it recharges quicker so you can actually have a second blast when needed. In fact, the moment they draw their melee weapon, your light armor speed will prove advantageous. Side step and slash away.
This approach is the same when facing mages with frost bolts. Heavy armor cannot sneak. Hence they are well and truly fucked if they insist in going pure melee in full ebony set. You'd probably get frostbolted to death before taking the first swing in.
Character build:
Strangely Light Armor types have very little use for HP.
You will not survive most hits in Requiem despite pumping 100 points into HP.
Better to split the points between Magicka and Stamina.
Magicka to allow Protection Spells and Conjuration. I lost count how many times Flame Atronach landed its fireball while I was circle strafing the archers. They also will eat hits for you - eventually once you mastered Conjuration, Frost Atronach will do the tanking role while the Fire deals extra dps. Storm is a waste of mana unless you want quick mana drains. Hope this helps.
If you really want to roleplay light armored melee warriors go ahead, but don't complain of having no survivability when you're not using your assets right.