In the Sierra, the Palisades are a must-do, either from Glacier Lodge (Middle Pal, Norman Clyde) or from South Lake (Agassiz, etc.). What you climb depends on your skill and how much you like camping out. Depending on when you're going, taking a detour on the way north to Joshua Tree (winter/spring) or San Gorgonio (summer) might be nice. Mount Conness outside Yosemite is a fun climb (class 2, 5.6, or harder), and you can sleep for free at Saddlebag Lake.
If you're in LA for dinner, go to Korea Town, since Korean can be hard to find elsewhere; the Corner Place is pretty good. For Mexican, I've enjoyed Tacos Por Favor and La Fiesta Brava on the west side.