Jeff,
You can do the first thing on your list but that's about it. When sketching the line you first need to select snapping references, in this case choose a line on the drawing that you want to use as the parallel ref. The parallel constraint should be added automatically once you sketch the line close to parallel with the ref.
The other two, you're probably out of luck unfortunately; you can use 'relate to view' to lock it to the view, but without being able to create a driving dimension to position it accurately, there's not too much point in that.
I will add my voice to those above, the best thing to do is to forget about trying to do any sort of accurate sketching in the drawing environment and use cosmetic sketches in the model. Every time a new version of ProE/Creo has been released, I've hoped for some development of the drawing environment but a lot of the deep issues are still there.
I have heard suggestions that this may be because PTC believe the future of engineering doesn't include drawings and that all you need is a well sorted model. That may be so - I have nothing to back that up with, but until then I guess we just have to live with it.