Maybe too late but here's my 2 cents, this all depends on what your deck is made of and that it will take the load. You can do the framing one of two ways. You can frame it so you build up to the underside of the rafters or you can do it in two pieces and set your walls out the be all the same height and then add the framing for the roof part.
As you have a deck that's reasonably level use it to do your framing on. Set out your PT 2x6's for you floor and makes sure its square by checking the diagonals. Everything will be set out from this so it needs to be right to start with. You can now shim it with some PT scraps if necessary.
Once you have your outer rim joist together and square, cut your 2x6's for your inner joists and set them out at 16" centres. You can either attach with hangers or fire 3" deck screws into the ends. When this is all done you can set down your floor sheets. They can be osb or ply but I'd use 3/4 ply personally. Attach your sheets so that they are perpendicular to the joists and screw them down. When all screwed down you can then snap chalk lines to follow with a saw to cut the flooring overhang.
Use the new floor deck to do your wall framing on. Set a 2x4 for the base plate and mark out your 2x4 stud positions @ 16" centres (or make a spacer). Assuming you want a top plate height of 8' your studs should be 7'7 1/2" long ( 8' - bottom plate and top plate x2) As you are framing something small you can actually screw up through the bottom plate into the studs rather than toe nailing them and do the same for the first top plate.
Where you have a window you need to work out the rough opening size for it so take the frame dimension and add 1/2" to all side. This is the dimension you frame to. You normally double the studs where the rough opening is so that your sill plate is sitting on a cripple stud either side (cripple stud is a partial height stud). I would agree that twin 2x4's with a ply infil is sufficient for your header but I'd do it as a 2x6 as it's the norm. The same concept applies to your door head although you would definitely want 2x6's for a 5' span.
Once you have your framing done, set one side up and brace it for plumb. Bring the next side up and do the same.When the 2 pieces are all kosher plumb wise you can then add the second top plate so that it overlap one frame from the other. Repeat again for the other two sides.
A mono pitch roof is certainly faster and easier to do but it's up to you. If you chose the frame it all at one level option now is the time to frame up the infil for the roof part. You want to use ply or osb for the sheathing and leave a 1/8 gap between the abutting sheet to allow for movement. Lay down from the bottom to the top strips of 30lb roofing felt and staple it. Next comes your shingles and you'll need 2 packs of them and preferably with the white finish along with some strips of drip edge. Your drip edge goes under your felt at the bottom edge but over the felt on the sloping sides. Take your shingles and cut off the tabs of a few to lay down as your first row from the bottom. Then place a row of full shingles over these and then carrry on up the roof.
For the siding you can use anything you like. Cement board is a good low maintenance option.
If you have any other questions and I haven't sent you to sleep feel free to ask.
As you have a deck that's reasonably level use it to do your framing on. Set out your PT 2x6's for you floor and makes sure its square by checking the diagonals. Everything will be set out from this so it needs to be right to start with. You can now shim it with some PT scraps if necessary.
Once you have your outer rim joist together and square, cut your 2x6's for your inner joists and set them out at 16" centres. You can either attach with hangers or fire 3" deck screws into the ends. When this is all done you can set down your floor sheets. They can be osb or ply but I'd use 3/4 ply personally. Attach your sheets so that they are perpendicular to the joists and screw them down. When all screwed down you can then snap chalk lines to follow with a saw to cut the flooring overhang.
Use the new floor deck to do your wall framing on. Set a 2x4 for the base plate and mark out your 2x4 stud positions @ 16" centres (or make a spacer). Assuming you want a top plate height of 8' your studs should be 7'7 1/2" long ( 8' - bottom plate and top plate x2) As you are framing something small you can actually screw up through the bottom plate into the studs rather than toe nailing them and do the same for the first top plate.
Where you have a window you need to work out the rough opening size for it so take the frame dimension and add 1/2" to all side. This is the dimension you frame to. You normally double the studs where the rough opening is so that your sill plate is sitting on a cripple stud either side (cripple stud is a partial height stud). I would agree that twin 2x4's with a ply infil is sufficient for your header but I'd do it as a 2x6 as it's the norm. The same concept applies to your door head although you would definitely want 2x6's for a 5' span.
Once you have your framing done, set one side up and brace it for plumb. Bring the next side up and do the same.When the 2 pieces are all kosher plumb wise you can then add the second top plate so that it overlap one frame from the other. Repeat again for the other two sides.
A mono pitch roof is certainly faster and easier to do but it's up to you. If you chose the frame it all at one level option now is the time to frame up the infil for the roof part. You want to use ply or osb for the sheathing and leave a 1/8 gap between the abutting sheet to allow for movement. Lay down from the bottom to the top strips of 30lb roofing felt and staple it. Next comes your shingles and you'll need 2 packs of them and preferably with the white finish along with some strips of drip edge. Your drip edge goes under your felt at the bottom edge but over the felt on the sloping sides. Take your shingles and cut off the tabs of a few to lay down as your first row from the bottom. Then place a row of full shingles over these and then carrry on up the roof.
For the siding you can use anything you like. Cement board is a good low maintenance option.
If you have any other questions and I haven't sent you to sleep feel free to ask.

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