Structural support is important. Roof must be able to support snow load (if applicable in your area which means beam size determined by span and slope) or strong winds. All support beams to deck should transmit load directly over beams from deck to ground. House attachment does not carry load well unless attached to vertical posts or into house wall joist. Sample graphics suggest posts against house wall to carry roof --if so that is good with house attachment serving primarily to stiffen against sideways wind load. Since there are no diagonal trusses on post make sure there are cross pieces on bottom of roof section to limit flexing on side wind(twisting to collapse horizontal box)