Hi.
The spare key you have is known as a 'valet' key as it only does what you say. I don't know if it has the circuitry inside to operate the remote locking but I don't think so.
My understanding of it is you cannot programme another master key to the car without a working master key which you have lost. I don't really know what to suggest sorry apart from at least get a spare made of the valet key if that's possible. Not sure a valet key can even programme another valet key but I may well be wrong. Losing all keys to this car is a nightmare, you can't simply get a new key.
As for WIM, that's an excellent suggestion :)
They will cure your inside tyre wear problem. I suggest having a full alignment and geometry done on your car. It costs about £115 but is worth every penny. Your car will drive like new afterwards and the savings on tyres alone makes it worth it.