We present measurements of the decays B+ to phi phi K+ and B0 to phi phi K0 using about 464 million BBbar pairs collected by the BABAR detector at the PEP-II asymmetric-energy B factory at SLAC. We report the branching fractions of the decays B+ to phi phi K+ and B0 to phi phi K0, and CP asymmetry in the charged B mode for phi phi invariant mass below 2.85 GeV/c2:

B(B0 to phi phi K0)=(4.5±0.8±0.3)×10-6,

B(B+ to phi phi K+)=(5.6±0.5±0.3)×10-6,

Ach(B+ to phi phi K+) = - 0.10 ± 0.08 ± 0.02.

Additionally, we measure the direct CP asymmetry in B+ to phi phi K+ for phi phi invariant mass within the eta_c resonance region ([2.94 - 3.02] GeV/c2):

Ach(B+ to phi phi K+) = - 0.09 ± 0.10 ± 0.02.

No direct CP asymmetry is observed both below the eta_c and within the eta_c resonance, as expected within the Standard Model.

In each case the uncertainties are statistical and systematic, respectively.

We present a search for the lepton-flavor-violating decays B^± &rarr h^± &tau l (h= K,π l= e,&mu) using the full BaBar dataset, which corresponds to 471.9 million BBbar pairs. The search uses a sample of events where one B meson (the "tag" B) is fully reconstructed in one of several hadronic final states. Using the tag-B momentum and the reconstructed h and l, we are able to fully reconstruct the &tau 4-momentum. The reconstructed &tau mass is our main discriminant against combinatoric background. The measured upper limits on the branching fractions at the 90% confidence level are on the order of 10^-5.