Old speakers which used to have foam surrounds, the foam would rot and new foam surround had to be put on. Commonplace. User replacement easy job.
SO I suggest just cooling off. Use the web to find out what glue is great to tie together rubber and the cone material. Probably best to lay the speaker flat when re-gluing. I would think you would not even have to remove the drivers.
If you are not a ’do it yourself’ sort. find someone who can do it for you. On a scale of 1 to 10 this job is at most a 2. the real key is knowing what glue to use.

