Hi Osten
Front tyres from MWS is probably the easiest Blockleys and they have an export sales phone number on the web page. Probably a good idea to get new tubes as well. Any tyre fitter shop that does spoked wheels will have no issues fitting them but it either needs a classic car shop to balance them with the correct cones for mounting the wheels on the machine or if the wheel bearings are well run in then you can take the mudguards off and the brake pads out and do them by hand on the car.
The back tyre you should be able to get something locally so long as you can get a mechanic to get the back wheel out , it's just an ordinary car radial. Most bike shops will be able to use a static balancer to balance them up; the hub is simiar in style to a bike hub with the bearings effectively in the wheel rather than on a stub axle.
The battery might well be past its best but I don't have any details here with me to point you towards a replacement; a bit of a forum search should come up with some alternatives to the original that have a bit more go about them.
Have fun!