How to recover Boot loader from lost partition hd0,1 (/dev/sda1) in Dual boot Windows10/Linux-Fedora21?

My first partition of 106MB is lost, boots fine to F21 but choosing Windows in boot menu gives some errors. any suggestion would be appreciated.

Background; For some reason, I am not able to boot into my Windows (10) anymore. It has been a long time that I have been busy with Fedora and do not remember since when it has been lost. It might be because of a couple of errors I had, during loging into Fedora from "Joualctl" and entering to "emergency mode" that I fixed it by "Fdisk -l and Fsck".

Now I have my Fedora and Windows options in boot menu but choosing Windows goes to error, saying;

Error; no such a device xxxxxx

Error; HD0,msdos1 not found

Error; HD0,msdos1 not found

Fdisk gives me these with /dev/sda1 missing which is now 106MB of free "unallocated space" (according to Linux "GParted") but not shown here and no device marked as "BOOT" but boots to Fedora just fine.

fdisk -l /dev/sda

Disk /dev/sda: 223.6 GiB, 240057409536 bytes, 468862128 sectors
Units: sectors of 1 * 512 = 512 bytes
Sector size (logical/physical): 512 bytes / 4096 bytes
I/O size (minimum/optimal): 4096 bytes / 4096 bytes
Disklabel type: dos
Disk identifier: 0x7dceab2d

Device     Boot     Start       End           Sectors       Size     Id    Type
/dev/sda2          206848    209020927  208814080   99.6G   7     HPFS/NTFS/exFAT
/dev/sda3       209020928  209942527    921600       450M  27    Hidden NTFS WinRE
/dev/sda4       209942528  468860927 258918400  123.5G   5     Extended
/dev/sda5       209944576  210968575   1024000      500M  83    Linux
/dev/sda6       210970624  344743935 133773312    63.8G  8e    Linux LVM
/dev/sda7       344745984  468860927 124114944    59.2G   7     HPFS/NTFS/exFAT

The computer firmware is BIOS and I do not know what sort of information were sitting in that wiped partition.

One suggested scenario, to fix this would be, to create the partition (NTFS, BOOT?) in that /dev/sda1 unallocated space and then to reinstall the grub, but the question is: How to reinstall the Windows Boot loader (by Windows recovery media or Fedora and GRUB)? and would Grub recognise the Windows and Fedora partition later to boot from? If Windows could recover itself with Windows recovery media, would it then take over the Boot loader and remove Fedora? If yes, do you think Fedora could then also be recovered too?

Looks like my grub and grub2 have issues also, when I run grub2-mkconfig, I get these errors;

grub2-mkconfig -o /boot/grub2/grub.cfg

Generating grub configuration file ...
Found linux image: /boot/vmlinuz-4.1.13-100.fc21.x86_64
Found initrd image: /boot/initramfs-4.1.13-100.fc21.x86_64.img
Found linux image: /boot/vmlinuz-3.17.4-301.fc21.x86_64
Found initrd image: /boot/initramfs-3.17.4-301.fc21.x86_64.img
Found linux image: /boot/vmlinuz-0-rescue-5bc3b0146bfa44b1b157766d86d3d8f8
Found initrd image: /boot/initramfs-0-rescue-5bc3b0146bfa44b1b157766d86d3d8f8.img
error: out of memory.
error: syntax error.
error: Incorrect command.
error: syntax error.
Syntax error at line 147
Syntax errors are detected in generated GRUB config file.
Ensure that there are no errors in /etc/default/grub
and /etc/grub.d/* files or please file a bug report with
/boot/grub2/grub.cfg.new file attached.
done

I wish to fix this problem without wiping off my Windows nor Fedora (because of all the installed software and saved projects and settings). Otherwise, would just use my Windows USB recovery media to rewrite the MBR Boot partition and reinstall Fedora to 23.

Any help would be much appreciated.