Why don't you just use an on/off switch? WHat is this module exactly? (Don't tell me it's something to improve the electrical performance of your car and will let your car accelerate faster. If it is, don't even bother with the module.).
10uF is not that big a cap...unless you mean 10mF. But what is the leakage on the capacitor? Is it large enough warrant all this?
Relays (whe properly rated) only suffer when they are breaking currents. If they are just sitting there staying on, they can take almost anything. THe power/current/voltage required to switch the relay is in the relay's datasheet.
Now about properly rated relays...Does 230VAC, 10A mean that the relay can handle 230VAC at 10A? Do you now know what is required to switch the relay? It has to be 12VDC since that's what car batteries are. Since the relay is VAC, then the DC current it can switch/break will be a LOT less, possibly even less than 1A. And because you are switching an inductive load, the current it can handle is even less. So it probably won't work with your application.
You were talking about a capacitor, but now you are talking about an inductive load...what is that all about?