There's just one minor issue. The tubes are so hot that the lucite plate on their cover melts down. I played for like 15 minutes and the plate bent and there are some air bubbles inside. I'm going to get it replaced with a glass one, I don't think I'll be able to use the amp without the glowing logo. You don't know whether the logo plates on the heritage b-15 are glass, do you? I have a friend who engraves things in glass with laser, could that be helpful?
Secondly - the cables in the back also seem to be melting from the tube warmth. Should I be worried?
You have a problem. It shouldn't be melting anything.
Is your wall voltage 230 VAC 50Hz? Measure the output voltage on your step down transformer just to make sure that the voltage is correct. Look for the output to be in the 115-120 VAC range.
The logos are plastic on all the amps, not glass. I run mine without the logo in place as it blocks the air flow. If the amp is against a wall, like in you image above, you should move it away. There needs to be at least a couple of feet of space around the amp for air to circulate.
If you have a small desk fan you can try using it to circulate the air around the amp. Position the fan so that the air is blowing onto the back of the tube cage.