First of all, i think that some more informations about the described issues and basic parameters are requiered. Most likely this should include:
- Which version of /e/ is installed on your device?
- Did you face those mentioned problems right from the start or did they occur suddenly, maybe after an update process or after an installation of a specific app?
- If you installed /e/ yourself, did you face any problems regarding the installation/ update process?
The 3G/4G issue was answered by @Taurus - did you took a look at your carrier settings? If you have the possibility, maybe a check with another SIM could be helpful.
"the system said all the time : failure authentification"
Without more details of when those messages appear, i can only refer to similar forum postings:
https://community.e.foundation/t/disable-authentication-failed-notifications/7024
https://community.e.foundation/t/authentification-failure/26755
Please check, if those informations relate to your problem.
"The system close alone many times per day"
What exactly does that mean? Unexpected shutdown/ reboot of your device or crashing system apps - or both?
I am using a 10T Pro Device and especially since the last update v0.22.x → v0.23.x i observe similar errors which means spontaneous device reboots and a few app crashes from time to time. But i have to keep in mind, that this is a beta version of /e/ and so this is not a big thing to me - overall everything works fine and it´s definitely worth for a daily usage.
Additionally, you can try to search on /e/ Gitlab forum, if those issues maybe are well known: https://gitlab.e.foundation/e/backlog/-/issues
"sometimes when i switch off the system, it switch on alone directly."
This behaviour was posted here (with Samsung device) a few years ago - does this help you?
https://community.e.foundation/t/samsung-a5-2017-reboots-instead-of-shutting-down/9451