Your hosting accounts were successfully transferred to the new server. 

It is important to know that the cPanel Transfer tool does not transfer all of your high-level server settings. It merely moves over account data, which includes domains, and any mailboxes or databases that were created under those domains.  Additionally, contacts and spam filter settings for email users using the Horde Webmail client are not copied over. 
All custom configurations and third-party software installations should be set up on a new server separately after the transfer. Our technical team will be glad to assist you with this setup, however, you will be billed a charge in accordance with our server management provision options.  You can view the full list of features provided for all management types here:
VPS - https://www.namecheap.com/support/knowledgebase/article.aspx/9304/48/what-vps-management-options-do-you-provide
DS - https://www.namecheap.com/support/knowledgebase/article.aspx/9213/2188/what-dedicated-server-management-options-do-you-provide

Once you are ready to link hosted domains with the new server, please create private nameservers. Feel free to refer to this guide:

If you use other nameservers, please update A records for all relevant domains and subdomains to the following IP: XXX

Could you please confirm that everything works as expected? Your feedback is important for us to improve the quality of the provided support.