I had to reinstall Zoom to my new computer but I cannot connect to my one year subscription to Zoom.

Hi, @MCourouble,

Most likely, you purchased the Pro license but did not assign that license to your account.  Once you assign your newly purchased license to your user account, this should work fine. See this web page for assistance:
https://support.zoom.us/hc/en-us/articles/115004976063-Assigning-a-License 

Follow these steps taken from the article:

• Sign in to the Zoom web portal.
• Click User Management, then Users.
• Locate or search for the user who you want to assign a license. There will likely only be your single account – click your account
• Click Edit at the end of the user row. This will open a window.
• Choose the User Type to assign, selecting “Licensed”.
• After choosing the User Type, use the drop down to select the license. There should be an indication that you have 1 available user license. Click that.
• (Optional) Assign add-ons by checking the boxes for the add-on. You will not likely have any add-ons, so skip this step.
• Click Save.

The license is now applied to your user account and you can use it immediately.

If this doesn't fix your issue, please describe in more detail, and I'll try to help with additional guidance.