1. No. Go to a real bike shop (LBS in bike lingo)
2. Padding in cycling shorts is called chamois (sham-wah. kinda like the Sham-wow guy, come to think of it!). It's what makes cycling shorts cycling shorts.
3. Your wrist problem might be alleviated by bar ends. Can someone post a photo of bar ends?? They change the angle of your wrists. Other than that, see the other suggestions about strengthening your core, keeping your arms relaxed, and adjusting your seat/getting a shorter stem. Putting drop bars on is expensive.