Hi Tim,
1. The cheapest/best way I have found my base location is using a Ublox m8 GPS. The position I get after 20-30 mins of run time is usually under a meter of accuracy.
2. For sure. With paint or canopies, it depends on the material. For Piksi's antenna, I would recommend you not cover it with anything. Refer to the link Josh Kretzmer shared with you for images of ideal UAV hardware setup and recommendations.
3. Most definitely. Since Piksi is a GPS only L1 GNSS unit, time and location can really make a big difference. Good and bad. Trimble has a tool which can track sattelites and map their trajectory.
There is however a fundamental question you must answer. Must you use RTK for navigation on your UAV? From my work with RTK systems on UAVs, I have found that there is little to no performance advantage.
Best
Rai Gohalwar