Hi
I can't see a damaged transformer in your latest pictures, however there is a relay that has contacts which are showing some signs of distress and this has blackened the clear plastic case above them, normally caused by contact arcing. It may be worthwhile removing the relay case and try to clean the contacts. Contact cleaning tools are or were readily available and normally have a thin blade that has diamond dust or similar impregnated in it. Used to be used for cleaning contact breaker contacts on cars.
May improve things but there again mat do nothing but worth a try and its easy to do. Power disconnected of course.
Cheers Martin
PS
Judging by the pictures the fuse looks to have been subject to serious over current when it blew. The fuse link, copper wire, has a wide rupture gap and there is melt back of this link. It would be interesting to see if a replacement fuse suffered the same fate, if so that may be why some idiot used aluminium foil as a replacement be it a stop gap measure or not.
Edited By Martin W on 12/08/2018 19:31:39