Problem with gmail and power supply help pls

On a motherboard it's just really hard to tell, especially without testing equipment.

While I don't know much about your hardware issues I can answer your Gmail one to a degree. Easiest answer? You can't access it due to security measures on your account. If you don't have the associated phone number of two factor authentication, an associated email, or security questions set up it may very well be unrecoverable. The only possible solution I can think of is to contact google support (I think they have some message board stuff? Not really sure on that end) and explain your scenario.

Which in reality, is a decent security system. If it wasn't in place, so long as you had an email theoretically speaking you could get access to anyone's email, simply by recovering the password. But the benefits of multiple factors of authorization is an entirely off subject conversation, I'd suggest finding some way to contact google, as they're the only ones going to be able to really help here.

for Gmail: when it says "we could not verify..." means you've already tried to recover your account, but information you gave was not enough to verify that's actually you the owner.

doing it so, system also "locked" your account for security reasons. and, at this point, none of us can really help you.

my best tip: do not continue to "stress" it (asking for new verifications, passwords...) and try with the Help group in your language: https://support.google.com/mail/community

good luck!

If it's a new power supply check if it's under warranty. If yes then return it back to the store where you bought it to get a replacement (in other words RMA it).
If not then you have to buy a new one or borrow a known working one.
Once you have the replacement PSU and before you test it, you have to do some preparation. Leave only the absolutely necessary components and remove everything else.
For example unplug any additional hard drive and leave the main one that has the operating system installed on it (Windows, Linux or whatever you have installed), remove any additional PCI express card from your system (for example a soundcard, a video recording card etc). If the CPU on your system also has an integrated GPU you may remove the dedicated GPU as well for extra safety.
Now you can try to boot the system and if everything goes well (hopefully) you will be able to replug any extra component (preferably one at a time) after you turn your PC off.
Regarding your Google account there's hope if you logged last time from the "broken" PC and if its hard drive is still fine. There are cookies saved in your browser and hopefully a saved password in browser's password manager.
Good luck!

P.S. Feel free to add me on steam if you're stuck somewhere or even better if you need some live help.

Check the fuse inside the power supply, sure is burn. Replace it and try to power on.

You already got the good advices so no need for a repeat. Just a positive hope: it happened to me already (2 times), replacing the power supply has always worked, no damage to motherboard and components. Crossing fingers so it's the same for you !