You would get more help if you asked better questions and gave more information.
Of course weight sensors can measure the weight of a car, you just need to get one with a suitable range.
How will an LVDT help? An LVDT (usually) measured linear displacement, not weight.
How will putting the LVDT near the suspension help?
Are you trying measure the weight of the car, or the load which the car is carrying?
Before you can solve a problem, you must define the problem, clearly.
JimB