Hello,

First of all make sure you do your re-registration for second year in due time, I believe you will have to do it during July session of 2022, until you do your re-registration for second year you cannot appear for June TEE 2023,

next yes, you can give  your first year TEE in December in place of June, that's completely fine, don't fill the form of June TEE 2022, and if it's possible just submit the assignments, and in case you fail to do so, you can submit the assignments later on, that is when the submission process for assignments will commence for December TEE, prior to the pandemic it used to get start off by September, you can stay updated at the official website at ignou.ac.in to know the latest information regarding this, if you still have any other query then you can mention in the comment box below.