blumalice,
If you have a backup you could try merging a few of the full versions with your dump. To do that I have uploaded a batch file Merge.bat
HERE. Put it in the s1fwx folder with a full version firmware named
full.bin and you repaired dump named
dump.bin. When you run merge.bat it will extract all the files from dump.bin and copy them into full.bin overwriting all files with the same name and creating a file called merged.bin. Merged.bin is now able to be loaded as a full version firmware. It does not always work and you may have to try merging with a few different full versions but it is worth a try.
There is also a LISONG LSD_502_02 firmware
HERE that may help.