Firstly, no one has the right to park on the public highway, it was meant for passing and re-passing.
It is unlawful to use cones, wheelie bins, etc. to reserve a parking space. Your Local Authority should be able to deal with this matter.
As to the dropped kerb, the situation as described sounds suspicious to me.
The Local Authority would normally give approval for a vehicle crossing or dropped kerb only if it gave access to an area for parking within the property and they would usually specify that any walls, fences, etc. be removed to make such an area before installation of the dropped kerb.
If it is the case that your neighbour has received no approval then he has acted illegally and the Local Authority has the power to remove a dropped kerb if it has been constructed without permission.
The construction of a vehicle crossing does not give the property owner any particular rights, except to drive across the footway to gain access to their property. The crossing itself is part of the public highway once it is satisfactorily completed and as such no one person has more (non-)right than another to park there provided the parked vehicle does not obstruct access to the highway of a car parked on the property.
http://www.direct.gov.uk/en/HomeAndCommunity/W hereYouLive/StreetsParkingCleaningAndLighting/ DG_10026223