You need a much lower RF frequency for the charging induction field - a 315/433Mhz is too high in frequency to provide much power for charging and powering the EWS circuit. The 125kHz frequency is commonly used on door access systems etc. (Wiegand). And electric toothbrush chargers!
Re. the various keys - a picture is worth 1000 (of my) words! I have a standard "diamond" 433MHz key, plus one of the Illuminated Universal Keys, as shown on the left in this image...
The plastic "Valet" key is on the right?
*edit* I just found something that calls the left hand key above the "Valet" key and the plastic one on the right as a "Wallet" key.