As to the 70-200 f/4, I own it and use it for solo portraits. However, on a crop body, you'll need to have a larger shooting space. Its not a good choice for group portraits unless you're outside, due to its longer focal range.
For primes, anything from 35mm up to 85mm is fine for indoor stuff. I like the 50mm from Canon, and can vouch for both the 1.4 and the nifty 50. The 85mm 1.8 is a stellar lens, and can also be used for sports shooting, due to its terrific AF performance.
Each lens has a sweet spot in which it performs well. Consider your other uses, and by doing so, you'll have a lens that will see more overall use.