travelling outside EU while on process of Change of Employer

Hi everyone, wondering if someone has experienced the same situation.

I been here in DE for 3yrs and have an Aufenthaltstitel tied up to an employer which I am currently serving my Kündigungsfrist until end of September. I already have a new employer starting November and submitted the process of employer change to LEA.

Unfortunately something needs to be urgently done in my home country(outside EU) and I would need to travel there this Oct. I reached out to LEA about this but they declined to provide a Fiktionsbesch since my eAT ID is still valid til 2028.

My questions are:

1. Will I have problems entering DE in Oct since the Zusatzblatt has the name of the old employer and I have already resigned from them?

2. What documents can I show Border Control in case they question this?

Any advice would be appreciated xx