Take a gander at page 13 of **broken link removed**
(single chip battery charger chip by Texas Inst.)
Pretty much any of the big chip companies has their Li battery charging chip - Linear Tech and Texas Inst. are probably have the most variety though.
But for the short answers:
1) if in deep discharge(i.e. < 3V), <1/10C, otherwise usually ~1C (i.e. 550mA)
2)4.2V at ~1%, the closer the better. 5% resistors in this circuit would be a bad thing...
3) no, that will overcharge the battery and damage it. Stop charging when charging current has fallen below 1/10C