Enfilade,
Were you at all out of breath when you initially began experiencing these heavy/sore legs during the stair climb? Also....I assume you cycled more than a mile or two per day back in the days before you tweaked your knee. What sort of distances were you accustomed to riding?
I ask because it sounds to me like you may not have been in good enough shape to carry a bike up a flight of stairs after a ride every day. Just a hunch, but...the one or two mile rides during your rehab sort of indicates that you are not....all that fit. And, doing anything everyday (especially cycling and then carrying said cycle up a flight of stairs) is not easy on the body. You must be at a certain level of condition to continue. It sounds to me like you just ran out of gas.
FYI: I walked 6-7 miles per day on crutches while rehabbing my broken leg. After getting off the sticks, I then walked about twenty miles a day, up and down hills, to further recondition that bad leg and the rest of me. But...you know what?
Even though i am in pretty darn good shape right now, my freaking legs would still get tired (feel heavy) if I rode my bike all the way into work and then carried that sucker up a flight of stairs.
I agree with Machka, don't sweat it...just ride.