You could get a second hand Tokina 50-135mm f/2.8 instead of the 70-200 f/4 and 85 f/1.4. I paid $500 for mine (Nikon mount) and it is a stunning lens.
The 11-16 is indeed not versatile at all, but great at what it does (UWA).
For the low light shooting I'd go with a prime in the 24mm - 35mm range. Keep in mind that longer lenses (85mm) need faster shutter speeds which is not helping in low light. The Sigma 30mm f/1.4 can be found for $200 second hand, the AF is a bit iffy but the images are very nice from it.