I'm pretty confused with this. How exactly did you unlock without a working fastboot (no waiting for device issue)? Did you change your pc drivers after unlock or trying this from a different pc? When you say "phone doesn't recognizes it is connected" you mean it says "Connect USB data cable" below "Device is UNLOCKED"? If so, maybe try another usb port cause it should normally say "Transfer Mode: USB Connected" regardless of proper drivers.
Your phone will chrarge no matter what though, no worry about that. It needs to say "Battery OK (Charging)" when connected to PC
No, as long as you have working your device isn't technically bricked in any sense. Don't worry, get that fastboot working again and anything can be fixed.
Also you didnt say whether or not you tried that "Factory" option in bootloader!
Anyway, now my phone is back again and rooted. Thanks for the help, guys!