Все файлы на External HD помечены как исполняемые

А какая у тебя там ФС?

покажи mount

ntfs или fat?

sysfs on /sys type sysfs (rw,nosuid,nodev,noexec,relatime,seclabel) proc on /proc type proc (rw,nosuid,nodev,noexec,relatime) devtmpfs on /dev type devtmpfs (rw,nosuid,seclabel,size=2003680k,nr_inodes=500920,mode=755) securityfs on /sys/kernel/security type securityfs (rw,nosuid,nodev,noexec,relatime) tmpfs on /dev/shm type tmpfs (rw,nosuid,nodev,seclabel) devpts on /dev/pts type devpts (rw,nosuid,noexec,relatime,seclabel,gid=5,mode=620,ptmxmode=000) tmpfs on /run type tmpfs (rw,nosuid,nodev,seclabel,mode=755) tmpfs on /sys/fs/cgroup type tmpfs (ro,nosuid,nodev,noexec,seclabel,mode=755) cgroup on /sys/fs/cgroup/systemd type cgroup (rw,nosuid,nodev,noexec,relatime,xattr,release_agent=/usr/lib/systemd/systemd-cgroups-agent,name=systemd) pstore on /sys/fs/pstore type pstore (rw,nosuid,nodev,noexec,relatime,seclabel) cgroup on /sys/fs/cgroup/pids type cgroup (rw,nosuid,nodev,noexec,relatime,pids) cgroup on /sys/fs/cgroup/freezer type cgroup (rw,nosuid,nodev,noexec,relatime,freezer) cgroup on /sys/fs/cgroup/devices type cgroup (rw,nosuid,nodev,noexec,relatime,devices) cgroup on /sys/fs/cgroup/hugetlb type cgroup (rw,nosuid,nodev,noexec,relatime,hugetlb) cgroup on /sys/fs/cgroup/cpu,cpuacct type cgroup (rw,nosuid,nodev,noexec,relatime,cpu,cpuacct) cgroup on /sys/fs/cgroup/net_cls,net_prio type cgroup (rw,nosuid,nodev,noexec,relatime,net_cls,net_prio) cgroup on /sys/fs/cgroup/perf_event type cgroup (rw,nosuid,nodev,noexec,relatime,perf_event) cgroup on /sys/fs/cgroup/blkio type cgroup (rw,nosuid,nodev,noexec,relatime,blkio) cgroup on /sys/fs/cgroup/cpuset type cgroup (rw,nosuid,nodev,noexec,relatime,cpuset) cgroup on /sys/fs/cgroup/memory type cgroup (rw,nosuid,nodev,noexec,relatime,memory) configfs on /sys/kernel/config type configfs (rw,relatime) /dev/mapper/fedora-root on / type ext4 (rw,relatime,seclabel,data=ordered) selinuxfs on /sys/fs/selinux type selinuxfs (rw,relatime) systemd-1 on /proc/sys/fs/binfmt_misc type autofs (rw,relatime,fd=32,pgrp=1,timeout=0,minproto=5,maxproto=5,direct) debugfs on /sys/kernel/debug type debugfs (rw,relatime,seclabel) mqueue on /dev/mqueue type mqueue (rw,relatime,seclabel) tmpfs on /tmp type tmpfs (rw,seclabel) hugetlbfs on /dev/hugepages type hugetlbfs (rw,relatime,seclabel) nfsd on /proc/fs/nfsd type nfsd (rw,relatime) /dev/sda4 on /boot type ext4 (rw,relatime,seclabel,data=ordered) /dev/sda3 on /boot/efi type ext4 (rw,relatime,seclabel,data=ordered) /dev/mapper/fedora-home on /home type ext4 (rw,relatime,seclabel,data=ordered) sunrpc on /var/lib/nfs/rpc_pipefs type rpc_pipefs (rw,relatime) tmpfs on /run/user/42 type tmpfs (rw,nosuid,nodev,relatime,seclabel,size=402884k,mode=700,uid=42,gid=42) tmpfs on /run/user/1000 type tmpfs (rw,nosuid,nodev,relatime,seclabel,size=402884k,mode=700,uid=1000,gid=1000) fusectl on /sys/fs/fuse/connections type fusectl (rw,relatime) gvfsd-fuse on /run/user/1000/gvfs type fuse.gvfsd-fuse (rw,nosuid,nodev,relatime,user_id=1000,group_id=1000) /dev/sdb1 on /run/media/iGula/wPass type fuseblk (rw,nosuid,nodev,relatime,user_id=0,group_id=0,default_permissions,allow_other,blksize=4096,uhelper=udisks2)

Имеете ввиду на внешнем HDD?

3 ссылка в гугле
http://askubuntu.com/questions/118199/how-do-i-change-file-permissions-on-a-f...

Спасибо за совет! :) Попробую разобраться. Знал бы, куда смотреть да как искать, не спрашивал бы.