1. No cables sticking out.
2. Newer Aero levers are designed so you can use them from the tops. They moved the pivot point and changed the grip. The older levers could be used that way but weren't designed for it.

As for the Tektro levers, I put a pair on one of my vintage bikes, along with Tektro calipers, the 730 quartz I think. They work great, much better than the old Modolo Speedy that were on it. And yes, put new cables and housing on.