right to get these out you need alot of patience and a little knowledge.
wax will only protect the surface and not remove any scratches what so ever
you will need something along the lines of fracella g3 compound which will remove then bigger sctaches and then use auto glym super resin polish and this will then refine the g3 smaller scrathes (swirls) and remove the smaller scratches.
auto glym super resin polish is not a wax and only takes off small amount of the clear coat so this needs to be followed up by a dedicated wax or lp (last stage product)
i use a hard wax mayself but there are liquid variants such as meguairs.
it may take £25 worth of products to remove this.
you will find that without a powerpolisher that getting these scratches out will take a few goes and a hell of a lot of work.
if you need any other info i would get yourself on to this forum its excellent and will help you out no end.
www.detailingworld.co.uk
Cheers