The configuration of each device - in either using IMAP or POP3 mail settings - will significantly impact how your devices will interact.
If all devices are using IMAP to access your email account(s), all devices that access your mail account(s) will remain faithfully synchronised via your Mail Providers mail servers; each device will have a copy of the mail messages that remain stored on the mail server until deleted.
If instead devices are using POP3, mail messages may be downloaded (and deleted) from the mail server by the first device that accesses the mailbox. If some devices are using POP3 and others using IMAP, you see potentially unexpected results. While it is possible to use a mix or IMAP and POP3 clients, this requires considerable care with configuration if issues are to be avoided.
Consistent and reliable management of Mail can be achieved across multiple devices by ensuring that all devices are using IMAP. If you must use POP3, you must ensure that POP3 is configured on each device to "download and leave a copy on the Server" - and not "download and delete".