Newbie questions about stripping, brightening and staining...

Newbie here with some questions and seeking advice. I will be stripping my old deck (not sure the age), brightening and staining. However, I also have added a new swing door onto my deck along with a new cedar fence that butts up to the deck.

I plan on using Defy stripper, Defy brightener and then an undetermined semi-trans stain on the floor boards and a solid white (two tone style) on the spindles/railings and possibly the lattice areas too.

Questions:

1. Should I be concerned about getting stripper on the house where the deck butts up against it? Should I cover the area with some plastic sheeting or can I simply not worry about it and hose it down?

2. Should I be concerned about getting stripper on the hardware on the new swing door? Should I tape this off or will the stripper not damage the hardware?

3. Should I strip and brighten the new cedar swing door as well, will it hurt or will it help treat the wood prior to staining?

4. Should I strip the lattice the same way as the rest of the deck (pump spray stripper on it and hose it down or power wash it? I am worried it is too weak to power wash the striper off. Speaking of the lattice, should I stain the lattice solid white to match the solid white stain that the spindles and railings will be?

5. Should I strip and brighten the new cedar fence I just installed prior to staining? This is new and I will probably use the same semi-trans stain on the fence that I use on the floor boards of the deck. Or should I just use a cleaner and then stain instead of stripping?

6. What is the best way to strip the lattice around the bottom of the deck? I can do it in place or I can try to remove it - there is some damage to it and I might beed to replace some lattice pieces, but not sure how to remove and then replace this - it is nailed in.