Please, help me to recover my external hard disk

[Bety]

Hi, good morning

I have a external hard drive, FAT32, of 1T. I quit it manually because I cannot quit it safe by using the little icon at the right hand bottom. The following day: Now, the computer recognize the external hard drive, appear this icon but i cannot open it:



Then i tried to opne in another computer, and there appear the message that say more or less taht it does not has format and asked me if i want to reformatting. Then, I download TestDisk and I press on: Create--I select the external hard drive J--then I select Intel--then Analyse and That is what i'm getting:



I'm afraid about what mean "Check_FAT Cannot read FAT boot sector" what mean that? I will could recover all the files that I have in that external hard drive? Can you help me please? it's very important, I put my life into all the proyect files I have there, oh, please

[Bety]

The analize has finished and say this:


Whant Can I do now? what does it mean? I know I still have all my files in the external hard drive because I take a look with another free recover apliccation (without get the files because it will take 14hours and i'm afraid I will not recover all type of files that I have), but how can I recover all the files without any recover program? I mean, only with TestDisk