Will handle 82-035 fit my 1-3/4" thick door?

Normally, the 82-035 is used in 1-5/8" thick patio doors. In your case, we're only talking 1/8" of a difference, so it may still work. Let's try to break it down: the 82-035 handle uses the 82-106 turning lever, which is 13/16" long (between 3/4" and 7/8"). Compare this to your existing turn lever to see if the length matches up. If it does, you should be good to go. The only other thing to consider with a different thickness door is the size of the screws, but that's easily handled; you could either re-use the ones you have now, or find the appropriate size at a hardware store.