Unable to login to backend after server host transfer

I recently took a client site live by transfering from a subdomain on one server to a different server (devsite01.web.com/website1 to website1.org). I transferred the files and databases, but now when I go to login, something weird happens.

I go to website1.com/wp-login.php and enter my user name and password, but then in redirects me to devsite01.web.com/website1/wp-login.php. When I try to login through that screen, it tells me I need to enable cookies. My cookies are enabled.

I have no idea what is happening (I’m not very advanced with coding, but I’m guessing the issue is in one of the .php files…?). Also, I’m not sure if this information helps, but the site works fine except some of the pages still link to devsite01.web.com/website1.

If anyone has any ideas of why this is happeneing or what to do to fix it, please help. I’ve been dealing with this the last two days and I feel as if I’m getting no where. Thank you!