First of all two spokes in 10 years isn't that bad at all unless the bike's just been sitting in your garage. FWIW, spoke breakage other than at the elbow is very rare, so I would suspect a corrosion related issue rather than mechanical. If this is true you will see tiny black dots here and there along the length of the spoke, not necessarily many, but each of them is a future break.
If you don't see that pattern of corrosion you might consider replacing the one spoke and and see how it goes. Odds are you can go to a wider tire on that same rim and that will buy you a little more room to accommodate your weight.
If you decide to rebuild fresh, you'll find rim selection for those odd drillings (not divisible by 4) to be limited so start by seeing what's out there and get the widest rim that will work.
Last edited by FBinNY; 09-13-22 at 05:30 PM.