Electrical Question: How do I get these electric lights to work again?

Hello…

This is not a Christmas question. So please, if you have an answer…read below:

I use fairy lights (Christmas non-LED lights—-you know the tiny ones with the bulbs) in my house as decorative accents all year. Someone gave me some really cool ones as a gift and I only used them for about a month and they blew out. I always search the cord to see which bulb blew out (the one that turns black) and then I replace it with the extras. This time the one that blew out was the one coated with white on the tip. (Can you tell me what the function of that bulb is and why is it white?) So, I replaced the bulb and the lights will not work. None of the others are black (or burned). I checked the extension chord (it’s fine and plugged in) and it didn’t trip a switch on the mains or anything.

I really, really love these lights as they are like stars and I don’t want to toss them. Could the light cord itself have blown a fuse? Is there somewhere online where I could learn to replace a fuse in the electrical plug? ( I live in the UK.)

Thank you!