Air cleaner, carb and gas tank make me think it's a Briggs.
Starter rope is no problem. Just take the sheet metal cover off the engine, crank the starter 'pulley' or whatever its called around, winding up the spring. Pin it with a screwdriver. Thread the new rope in, tie the knot, and pull the screwdriver out, letting the rewind mechanism pull the rope in. Reinstall the cover.
Voila! Ten minute job, if that.