If i run out of a gem wih a soul trapping weapon, is there an npc that recharges it?

And if im a theif/warrior thatndoesnt use magic is a simple weapon with soul trap 1 sec the most efficient way?

No.

Yes.

You can buy more soul gems from NPC's (castle mages). You can buy them filled already or unfilled.

If it is a weapon you use all the time, 1 second would work. The illusion spell soul trap works pretty well too and I don't think it requires that high of a skill to acquire.

With a petty gem, I enchanted a glass and daedric bow with soul trap for 1 second. I get around 225-250 shots off before it needs to be recharged, and it's fully recharged with a lesser soul.

I think that's the most efficient way to capture souls on the reg.

get the enchanting perk that recharges items on a kil, or do the Azura's shrine quest, and never run out of gems,