Sorry to see the loss. You need a viewer warning thing about "PG for Violence" on the thread.
Were you to attempt a repair, the one with the break going into the apex of the curve at the narrowest point likely would not be very structurally sound. The break is in the area of maximum stress on the handle. Handling that in use after the repair, suspended over other nice teawares would be an act of superior braveness and aplomb.
The other one might be more useable after a repair since the break is back further in the handle.
If they have significant "sentimental value" beyond being nice to use, then I'd repair them and put them on a shelf.
Forgive me for being "frank" or "blunt" here
It gives you an excuse to look at some new kyusu
best,
............john
PS: And you should take Geekgirl up on her "use them to learn on" idea if she really is serious about learning to do urushi repairs from a museum curator type.