I don't follow your first question, sorry! (Perhaps give the beta a go, when it comes out, and experiment with it)
Your second point sounds like it will work yes - start speed will be respected for the repeated bursts - if you use an increasing curve, the later cycles will have a faster start speed.
Your third point is a good idea, but not currently implemented. UI space is a problem, but it wouldbe good to standardise this! I've added it to our roadmap!
Regarding your 4th point, again UI space becomes a problem. Maybe we would have to break the UI out into a multi-line-per-burst display, to achieve this kind of functionality. Currently it's just a fixed value - but you can keyframe it via animation, which would give you some extra control over it.