AMD64 is for systems with 64 bit architectures (both Intel and AMD), whilst i386 is for 32-bit architectures (both Intel and AMD). 64 bit systems will run i386 version of Ubuntu, but not the other way around.
Based on your Motherboard, I would assume your CPU is 64 bit?
Have a look at the following post - My computer boots to a black screen, what options do I have to fix it?
Black screen or "you need to load kernel first" and "can not read
file/cd0"
errors when installing to an UEFI capable machine: Ubuntu's
installer when attempting to run in UEFI mode will hang and stop due
to different manufacturers implementing the UEFI specification in
different ways will hang differently. To identify if your machine is
booting installer UEFI mode you will see
REF: UEFI Community Ubuntu Documentation Section 2.4
If your machine is CSM capable (which is a full UEFI implementation
with an emulated BIOS layer) after selecting any option from grub list
system will hang at a black screen. The picture above actually only
confirms DVD/USB booted using UEFI and there will be some means in
firmware settings to ensure drives are booted in order to make UEFI
installer run - the solution to which may possibly be as simple as
ensuring SATA set to AHCI - check your vendors manual to check this.
Also check UEFI Community Documentation Section 2.3 for more details.
What you need to check is first disable SECURE BOOT in firmware
settings. If that does not get Ubuntu installer running - Try
disabling anything mentioning UEFI in firmware settings. Or If you can
not find UEFI settings then enable CSM - this will disable the UEFI
booting of installer and then allow a legacy/bios install of Ubuntu.
Installing grub-efi afterwards will allow UEFI to be re-enabled. Again
refer to UEFI Community Ubuntu Documentation this time at Section 4
Some machines use a full BIOS with an emulated UEFI layer which may
throw errors as described ie "you need to load the kernel first" and
"can not read file/cd0" Not all of these machines implement Secure
Boot. Simply selecting UEFI in BIOS settings will configure UEFI mode
on hard drives. The information above may still be relative to your
machine though regarding this. There is no solution for these errors
and the workaround is to disable UEFI to enable Ubuntu installer to
run in legacy mode. After which boot-repair can be used to install
grub-efi which then allows/needs UEFI switched back on before Ubuntu
will boot using UEFI. Once again referring to UEFI Community Ubuntu
Documentation at Section 4