Is there a limit on the number of forwarded emails per unit time?

Split from this thread.

I seem to be having a similar issue ...

I recently built a new computer and have installed Win 10 and Outlook 2016 (Office 365) on it.  The previous computer was a laptop with Win 7 and Windows Live Mail.

In an effort to save some needed business emails that were in "Storage Folders" on my old system (I assume on the C: drive), rather than converting the .eml files to .pst files I decided to simply forward them to myself and end-run the conversion.  (I tried to convert them, but it was a REAL PITA!)

I was successful in forwarding numerous email this way, then Windows Live stopped allowing me to "Forward" emails.

Question:  Is there a limit on the number of forwarded emails per unit time?  If so, please let me know the limits (if you know) and I will simply slow down my pace to continue the transfers.  If it is another issue, can you help me identify it?

(BTW - For my purposes, the emails successfully forwarded in this manner are sufficient in format for my needs and, I guess since they were FORWARDED, can be read by Outlook.)

Thanks

Mike