are you going to be renting a 2nd camera?
Unless the answer is yes, I would seriously not bother with a 2nd lens.
What are your plans for the day?
Are you going to be taking posed shots of the wedding party outdoors? Your 35 will work.
Are you going to be capturing the wedding from close up? (I'm assuming yes, if it is at someone's home) then your 35 will work.
If anything else I'd use the 17-55, but only if it has a fixed 2.8 or less
I'd not even try to use your kit lens.
It is not going to open up enough, since I'm pretty sure you said no flash.