"Model No.: A1289 EMC No.2314." is this 5,1 2010 Mac Pro?

Exactly why are you asking this question? the answer is more complex than it appears.

Because there are 28 Mac Pro models that match the A1289 model number, you may wish to lookup yours by EMC Number, Model ID, or Serial Number for (somewhat) greater precision.

from this list of all 28, broken out:

https://everymac.com/ultimate-mac-lookup/?search_keywords=a1289

There is an unsupported hobbyist hack that loads the 5,1 firmware into a 2009 Mac Pro. It seems to turn this slightly older model into a "real" 5,1 for almost every purpose, including installing later version of MacOS.**

** under most conditions. There are some special cases involved, be sure to ask.

If you read https://everymac.com/ultimate-mac-lookup/?search_keywords=a1289 , you will find both 2314 and 2314-2 listed as 2010 Mac Pros.

You can use your serial number to look it up here:

https://everymac.com/ultimate-mac-lookup/?search_keywords=a1286

Posting a serial number here on these public forums where is can be harvested by scammers can compromise your Mac. I requested that the Hosts edit it for your protection.

If you post such photos in the future, it would be best to redact the serial number.

There is no 2009 model Mac Pro that shipped with 2.80 GHz processors.

That one appears to have been built as a 2010 model.